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authorPedro Alvarez <pedro.alvarez@codethink.co.uk>2014-12-22 00:55:04 +0000
committerPedro Alvarez <pedro.alvarez@codethink.co.uk>2014-12-22 00:56:42 +0000
commit54eea31d0053620bab65153ab39d61e5575aaf1b (patch)
tree5f97c96dffdb6b27df36795689abfb9086011585 /gmp/tests/rand
parentc16297b7cfb0c1708f1d84b5d0f90be0844d07ce (diff)
downloadgcc-tarball-54eea31d0053620bab65153ab39d61e5575aaf1b.tar.gz
Add gmp, mpc and mpfr sourcesbaserock/pedroalvarez/4.9.1
Diffstat (limited to 'gmp/tests/rand')
-rw-r--r--gmp/tests/rand/Makefile.am89
-rw-r--r--gmp/tests/rand/Makefile.in801
-rw-r--r--gmp/tests/rand/findlc.c252
-rw-r--r--gmp/tests/rand/gen.c481
-rw-r--r--gmp/tests/rand/gmpstat.h75
-rw-r--r--gmp/tests/rand/spect.c137
-rw-r--r--gmp/tests/rand/stat.c407
-rw-r--r--gmp/tests/rand/statlib.c837
-rw-r--r--gmp/tests/rand/t-iset.c68
-rw-r--r--gmp/tests/rand/t-lc2exp.c217
-rw-r--r--gmp/tests/rand/t-mt.c83
-rw-r--r--gmp/tests/rand/t-rand.c290
-rw-r--r--gmp/tests/rand/t-urbui.c65
-rw-r--r--gmp/tests/rand/t-urmui.c75
-rw-r--r--gmp/tests/rand/t-urndmm.c159
-rw-r--r--gmp/tests/rand/zdiv_round.c44
16 files changed, 4080 insertions, 0 deletions
diff --git a/gmp/tests/rand/Makefile.am b/gmp/tests/rand/Makefile.am
new file mode 100644
index 0000000000..ed585b7edc
--- /dev/null
+++ b/gmp/tests/rand/Makefile.am
@@ -0,0 +1,89 @@
+## Process this file with automake to generate Makefile.in
+
+# Copyright 2000-2003 Free Software Foundation, Inc.
+#
+# This file is part of the GNU MP Library test suite.
+#
+# The GNU MP Library test suite is free software; you can redistribute it
+# and/or modify it under the terms of the GNU General Public License as
+# published by the Free Software Foundation; either version 3 of the License,
+# or (at your option) any later version.
+#
+# The GNU MP Library test suite is distributed in the hope that it will be
+# useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+# Public License for more details.
+#
+# You should have received a copy of the GNU General Public License along with
+# the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/.
+
+
+INCLUDES = -I$(top_srcdir) -I$(top_srcdir)/tests
+LDADD = $(top_builddir)/tests/libtests.la $(top_builddir)/libgmp.la
+
+check_PROGRAMS = t-iset t-lc2exp t-mt t-rand t-urbui t-urmui t-urndmm
+TESTS = $(check_PROGRAMS)
+
+EXTRA_PROGRAMS = findlc gen gen.static spect stat
+gen_static_SOURCES = gen.c
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+spect_LDADD = libstat.la
+stat_LDADD = libstat.la
+
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+
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+
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+
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+
+manual-test: gen$(EXEEXT) stat$(EXEEXT)
+ @(echo -n '16i: '; ./gen -f mpz_urandomb -z 16 1000 \
+ | ./stat -i 0xffff | grep '^[0-9]')
+ @(echo -n '32i: '; ./gen -f mpz_urandomb -z 32 1000 \
+ | ./stat -i 0xffffffff | grep '^[0-9]')
+ @(echo -n '33i: '; ./gen -f mpz_urandomb -z 33 1000 \
+ | ./stat -i 0x1ffffffff | grep '^[0-9]')
+ @(echo -n '64i: '; ./gen -f mpz_urandomb -z 64 1000 \
+ | ./stat -i 0xffffffffffffffff | grep '^[0-9]')
+ @(echo -n '128i: '; ./gen -f mpz_urandomb -z 128 1000 \
+ | ./stat -i 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | grep '^[0-9]')
+
+ @(echo -n '16f: '; ./gen -f mpf_urandomb -z 16 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '32f: '; ./gen -f mpf_urandomb -z 32 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '33f: '; ./gen -f mpf_urandomb -z 33 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '64f: '; ./gen -f mpf_urandomb -z 64 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '128f: '; ./gen -f mpf_urandomb -z 128 1000 \
+ | ./stat | grep '^[0-9]')
+
+manual-bigtest: gen$(EXEEXT) stat$(EXEEXT)
+ @(echo '16i: '; ./gen -f mpz_urandomb -z 16 50000 \
+ | ./stat -2 1000 -i 0xffff | grep '^K[mp]')
+ @(echo '32i: '; ./gen -f mpz_urandomb -z 32 50000 \
+ | ./stat -2 1000 -i 0xffffffff | grep '^K[mp]')
+ @(echo '33i: '; ./gen -f mpz_urandomb -z 33 50000 \
+ | ./stat -2 1000 -i 0x1ffffffff | grep '^K[mp]')
+ @(echo '64i: '; ./gen -f mpz_urandomb -z 64 50000 \
+ | ./stat -2 1000 -i 0xffffffffffffffff | grep '^K[mp]')
+ @(echo '128i: '; ./gen -f mpz_urandomb -z 128 50000 \
+ | ./stat -2 1000 -i 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | grep '^K[mp]')
+
+ @(echo '16f: '; ./gen -f mpf_urandomb -z 16 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '32f: '; ./gen -f mpf_urandomb -z 32 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '33f: '; ./gen -f mpf_urandomb -z 33 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '64f: '; ./gen -f mpf_urandomb -z 64 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '128f: '; ./gen -f mpf_urandomb -z 128 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
diff --git a/gmp/tests/rand/Makefile.in b/gmp/tests/rand/Makefile.in
new file mode 100644
index 0000000000..b902bc5586
--- /dev/null
+++ b/gmp/tests/rand/Makefile.in
@@ -0,0 +1,801 @@
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+
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+
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+
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+
+TAGS: $(HEADERS) $(SOURCES) $(TAGS_DEPENDENCIES) \
+ $(TAGS_FILES) $(LISP)
+ set x; \
+ here=`pwd`; \
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+
+distclean-tags:
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+
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+ $(am__tty_colors); \
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+ if test "$$failed" -ne 0 && test -n "$(PACKAGE_BUGREPORT)"; then \
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+ dashes="$$report"; \
+ fi; \
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+ echo "$${col}$$dashes$${std}"; \
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+ else :; fi
+
+distdir: $(DISTFILES)
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+ fi
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+
+$(top_builddir)/tests/libtests.la:
+ cd $(top_builddir)/tests; $(MAKE) $(AM_MAKEFLAGS) libtests.la
+
+manual-test: gen$(EXEEXT) stat$(EXEEXT)
+ @(echo -n '16i: '; ./gen -f mpz_urandomb -z 16 1000 \
+ | ./stat -i 0xffff | grep '^[0-9]')
+ @(echo -n '32i: '; ./gen -f mpz_urandomb -z 32 1000 \
+ | ./stat -i 0xffffffff | grep '^[0-9]')
+ @(echo -n '33i: '; ./gen -f mpz_urandomb -z 33 1000 \
+ | ./stat -i 0x1ffffffff | grep '^[0-9]')
+ @(echo -n '64i: '; ./gen -f mpz_urandomb -z 64 1000 \
+ | ./stat -i 0xffffffffffffffff | grep '^[0-9]')
+ @(echo -n '128i: '; ./gen -f mpz_urandomb -z 128 1000 \
+ | ./stat -i 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | grep '^[0-9]')
+
+ @(echo -n '16f: '; ./gen -f mpf_urandomb -z 16 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '32f: '; ./gen -f mpf_urandomb -z 32 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '33f: '; ./gen -f mpf_urandomb -z 33 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '64f: '; ./gen -f mpf_urandomb -z 64 1000 \
+ | ./stat | grep '^[0-9]')
+ @(echo -n '128f: '; ./gen -f mpf_urandomb -z 128 1000 \
+ | ./stat | grep '^[0-9]')
+
+manual-bigtest: gen$(EXEEXT) stat$(EXEEXT)
+ @(echo '16i: '; ./gen -f mpz_urandomb -z 16 50000 \
+ | ./stat -2 1000 -i 0xffff | grep '^K[mp]')
+ @(echo '32i: '; ./gen -f mpz_urandomb -z 32 50000 \
+ | ./stat -2 1000 -i 0xffffffff | grep '^K[mp]')
+ @(echo '33i: '; ./gen -f mpz_urandomb -z 33 50000 \
+ | ./stat -2 1000 -i 0x1ffffffff | grep '^K[mp]')
+ @(echo '64i: '; ./gen -f mpz_urandomb -z 64 50000 \
+ | ./stat -2 1000 -i 0xffffffffffffffff | grep '^K[mp]')
+ @(echo '128i: '; ./gen -f mpz_urandomb -z 128 50000 \
+ | ./stat -2 1000 -i 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | grep '^K[mp]')
+
+ @(echo '16f: '; ./gen -f mpf_urandomb -z 16 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '32f: '; ./gen -f mpf_urandomb -z 32 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '33f: '; ./gen -f mpf_urandomb -z 33 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '64f: '; ./gen -f mpf_urandomb -z 64 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+ @(echo '128f: '; ./gen -f mpf_urandomb -z 128 50000 \
+ | ./stat -2 1000 | grep '^K[mp]')
+
+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
diff --git a/gmp/tests/rand/findlc.c b/gmp/tests/rand/findlc.c
new file mode 100644
index 0000000000..2406c3b645
--- /dev/null
+++ b/gmp/tests/rand/findlc.c
@@ -0,0 +1,252 @@
+/*
+Copyright 2000 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <signal.h>
+#include <math.h>
+#include "gmp.h"
+#include "gmpstat.h"
+
+#define RCSID(msg) \
+static /**/const char *const rcsid[] = { (char *)rcsid, "\100(#)" msg }
+
+RCSID("$Id$");
+
+int g_debug = 0;
+
+static mpz_t a;
+
+static void
+sh_status (int sig)
+{
+ printf ("sh_status: signal %d caught. dumping status.\n", sig);
+
+ printf (" a = ");
+ mpz_out_str (stdout, 10, a);
+ printf ("\n");
+ fflush (stdout);
+
+ if (SIGSEGV == sig) /* remove SEGV handler */
+ signal (SIGSEGV, SIG_DFL);
+}
+
+/* Input is a modulus (m). We shall find multiplier (a) and adder (c)
+ conforming to the rules found in the first comment block in file
+ mpz/urandom.c.
+
+ Then run a spectral test on the generator and discard any
+ multipliers not passing. */
+
+/* TODO:
+
+ . find a better algorithm than a+=8; bigger jumps perhaps?
+
+*/
+
+void
+mpz_true_random (mpz_t s, unsigned long int nbits)
+{
+#if __FreeBSD__
+ FILE *fs;
+ char c[1];
+ int i;
+
+ mpz_set_ui (s, 0);
+ for (i = 0; i < nbits; i += 8)
+ {
+ for (;;)
+ {
+ int nread;
+ fs = fopen ("/dev/random", "r");
+ nread = fread (c, 1, 1, fs);
+ fclose (fs);
+ if (nread != 0)
+ break;
+ sleep (1);
+ }
+ mpz_mul_2exp (s, s, 8);
+ mpz_add_ui (s, s, ((unsigned long int) c[0]) & 0xff);
+ printf ("%d random bits\n", i + 8);
+ }
+ if (nbits % 8 != 0)
+ mpz_mod_2exp (s, s, nbits);
+#endif
+}
+
+int
+main (int argc, char *argv[])
+{
+ const char usage[] = "usage: findlc [-dv] m2exp [low_merit [high_merit]]\n";
+ int f;
+ int v_lose, m_lose, v_best, m_best;
+ int c;
+ int debug = 1;
+ int cnt_high_merit;
+ mpz_t m;
+ unsigned long int m2exp;
+#define DIMS 6 /* dimensions run in spectral test */
+ mpf_t v[DIMS-1]; /* spectral test result (there's no v
+ for 1st dimension */
+ mpf_t f_merit, low_merit, high_merit;
+ mpz_t acc, minus8;
+ mpz_t min, max;
+ mpz_t s;
+
+
+ mpz_init (m);
+ mpz_init (a);
+ for (f = 0; f < DIMS-1; f++)
+ mpf_init (v[f]);
+ mpf_init (f_merit);
+ mpf_init_set_d (low_merit, .1);
+ mpf_init_set_d (high_merit, .1);
+
+ while ((c = getopt (argc, argv, "a:di:hv")) != -1)
+ switch (c)
+ {
+ case 'd': /* debug */
+ g_debug++;
+ break;
+
+ case 'v': /* print version */
+ puts (rcsid[1]);
+ exit (0);
+
+ case 'h':
+ case '?':
+ default:
+ fputs (usage, stderr);
+ exit (1);
+ }
+
+ argc -= optind;
+ argv += optind;
+
+ if (argc < 1)
+ {
+ fputs (usage, stderr);
+ exit (1);
+ }
+
+ /* Install signal handler. */
+ if (SIG_ERR == signal (SIGSEGV, sh_status))
+ {
+ perror ("signal (SIGSEGV)");
+ exit (1);
+ }
+ if (SIG_ERR == signal (SIGHUP, sh_status))
+ {
+ perror ("signal (SIGHUP)");
+ exit (1);
+ }
+
+ printf ("findlc: version: %s\n", rcsid[1]);
+ m2exp = atol (argv[0]);
+ mpz_init_set_ui (m, 1);
+ mpz_mul_2exp (m, m, m2exp);
+ printf ("m = 0x");
+ mpz_out_str (stdout, 16, m);
+ puts ("");
+
+ if (argc > 1) /* have low_merit */
+ mpf_set_str (low_merit, argv[1], 0);
+ if (argc > 2) /* have high_merit */
+ mpf_set_str (high_merit, argv[2], 0);
+
+ if (debug)
+ {
+ fprintf (stderr, "low_merit = ");
+ mpf_out_str (stderr, 10, 2, low_merit);
+ fprintf (stderr, "; high_merit = ");
+ mpf_out_str (stderr, 10, 2, high_merit);
+ fputs ("\n", stderr);
+ }
+
+ mpz_init (minus8);
+ mpz_set_si (minus8, -8L);
+ mpz_init_set_ui (acc, 0);
+ mpz_init (s);
+ mpz_init_set_d (min, 0.01 * pow (2.0, (double) m2exp));
+ mpz_init_set_d (max, 0.99 * pow (2.0, (double) m2exp));
+
+ mpz_true_random (s, m2exp); /* Start. */
+ mpz_setbit (s, 0); /* Make it odd. */
+
+ v_best = m_best = 2*(DIMS-1);
+ for (;;)
+ {
+ mpz_add (acc, acc, s);
+ mpz_mod_2exp (acc, acc, m2exp);
+#if later
+ mpz_and_si (a, acc, -8L);
+#else
+ mpz_and (a, acc, minus8);
+#endif
+ mpz_add_ui (a, a, 5);
+ if (mpz_cmp (a, min) <= 0 || mpz_cmp (a, max) >= 0)
+ continue;
+
+ spectral_test (v, DIMS, a, m);
+ for (f = 0, v_lose = m_lose = 0, cnt_high_merit = DIMS-1;
+ f < DIMS-1; f++)
+ {
+ merit (f_merit, f + 2, v[f], m);
+
+ if (mpf_cmp_ui (v[f], 1 << (30 / (f + 2) + (f == 2))) < 0)
+ v_lose++;
+
+ if (mpf_cmp (f_merit, low_merit) < 0)
+ m_lose++;
+
+ if (mpf_cmp (f_merit, high_merit) >= 0)
+ cnt_high_merit--;
+ }
+
+ if (0 == v_lose && 0 == m_lose)
+ {
+ mpz_out_str (stdout, 10, a); puts (""); fflush (stdout);
+ if (0 == cnt_high_merit)
+ break; /* leave loop */
+ }
+ if (v_lose < v_best)
+ {
+ v_best = v_lose;
+ printf ("best (v_lose=%d; m_lose=%d): ", v_lose, m_lose);
+ mpz_out_str (stdout, 10, a); puts (""); fflush (stdout);
+ }
+ if (m_lose < m_best)
+ {
+ m_best = m_lose;
+ printf ("best (v_lose=%d; m_lose=%d): ", v_lose, m_lose);
+ mpz_out_str (stdout, 10, a); puts (""); fflush (stdout);
+ }
+ }
+
+ mpz_clear (m);
+ mpz_clear (a);
+ for (f = 0; f < DIMS-1; f++)
+ mpf_clear (v[f]);
+ mpf_clear (f_merit);
+ mpf_clear (low_merit);
+ mpf_clear (high_merit);
+
+ printf ("done.\n");
+ return 0;
+}
diff --git a/gmp/tests/rand/gen.c b/gmp/tests/rand/gen.c
new file mode 100644
index 0000000000..65401e3751
--- /dev/null
+++ b/gmp/tests/rand/gen.c
@@ -0,0 +1,481 @@
+/* gen.c -- Generate pseudorandom numbers.
+
+Copyright 1999, 2000, 2002 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+/* Examples:
+
+ $ gen 10
+10 integers 0 <= X < 2^32 generated by mpz_urandomb()
+
+ $ gen -f mpf_urandomb 10
+10 real numbers 0 <= X < 1
+
+ $ gen -z 127 10
+10 integers 0 <= X < 2^127
+
+ $ gen -f mpf_urandomb -x .9,1 10
+10 real numbers 0 <= X < .9
+
+ $ gen -s 1 10
+10 integers, sequence seeded with 1
+
+*/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <limits.h>
+#include <errno.h>
+#include <time.h>
+#include <string.h>
+
+#if !HAVE_DECL_OPTARG
+extern char *optarg;
+extern int optind, opterr;
+#endif
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+int main (argc, argv)
+ int argc;
+ char *argv[];
+{
+ const char usage[] =
+ "usage: gen [-bhpq] [-a n] [-c a,c,m2exp] [-C a,c,m] [-f func] [-g alg] [-m n] [-s n] " \
+ "[-x f,t] [-z n] [n]\n" \
+ " n number of random numbers to generate\n" \
+ " -a n ASCII output in radix n (default, with n=10)\n" \
+ " -b binary output\n" \
+ " -c a,c,m2exp use supplied LC scheme\n" \
+ " -f func random function, one of\n" \
+ " mpz_urandomb (default), mpz_urandomm, mpf_urandomb, rand, random\n" \
+ " -g alg algorithm, one of mt (default), lc\n" \
+ " -h print this text and exit\n" \
+ " -m n maximum size of generated number plus 1 (0<= X < n) for mpz_urandomm\n" \
+ " -p print used seed on stderr\n" \
+ " -q quiet, no output\n" \
+ " -s n initial seed (default: output from time(3))\n" \
+ " -x f,t exclude all numbers f <= x <= t\n" \
+ " -z n size in bits of generated numbers (0<= X <2^n) (default 32)\n" \
+ "";
+
+ unsigned long int f;
+ unsigned long int n = 0;
+ unsigned long int seed;
+ unsigned long int m2exp = 0;
+ unsigned int size = 32;
+ int seed_from_user = 0;
+ int ascout = 1, binout = 0, printseed = 0;
+ int output_radix = 10;
+ int lc_scheme_from_user = 0;
+ int quiet_flag = 0;
+ mpz_t z_seed;
+ mpz_t z1;
+ mpf_t f1;
+ gmp_randstate_t rstate;
+ int c, i;
+ double drand;
+ long lrand;
+ int do_exclude = 0;
+ mpf_t f_xf, f_xt; /* numbers to exclude from sequence */
+ char *str_xf, *str_xt; /* numbers to exclude from sequence */
+ char *str_a, *str_adder, *str_m;
+ mpz_t z_a, z_m, z_mmax;
+ unsigned long int ul_adder;
+
+ enum
+ {
+ RFUNC_mpz_urandomb = 0,
+ RFUNC_mpz_urandomm,
+ RFUNC_mpf_urandomb,
+ RFUNC_rand,
+ RFUNC_random,
+ } rfunc = RFUNC_mpz_urandomb;
+ char *rfunc_str[] = { "mpz_urandomb", "mpz_urandomm", "mpf_urandomb",
+ "rand", "random" };
+ enum
+ {
+ RNG_MT = 0,
+ RNG_LC
+ };
+ gmp_randalg_t ralg = RNG_MT;
+ /* Texts for the algorithms. The index of each must match the
+ corresponding algorithm in the enum above. */
+ char *ralg_str[] = { "mt", "lc" };
+
+ mpf_init (f_xf);
+ mpf_init (f_xt);
+ mpf_init (f1);
+ mpz_init (z1);
+ mpz_init (z_seed);
+ mpz_init_set_ui (z_mmax, 0);
+
+
+ while ((c = getopt (argc, argv, "a:bc:f:g:hm:n:pqs:z:x:")) != -1)
+ switch (c)
+ {
+ case 'a':
+ ascout = 1;
+ binout = 0;
+ output_radix = atoi (optarg);
+ break;
+
+ case 'b':
+ ascout = 0;
+ binout = 1;
+ break;
+
+ case 'c': /* User supplied LC scheme: a,c,m2exp */
+ if (NULL == (str_a = strtok (optarg, ","))
+ || NULL == (str_adder = strtok (NULL, ","))
+ || NULL == (str_m = strtok (NULL, ",")))
+ {
+ fprintf (stderr, "gen: bad LC scheme parameters: %s\n", optarg);
+ exit (1);
+ }
+#ifdef HAVE_STRTOUL
+ ul_adder = strtoul (str_adder, NULL, 0);
+#elif HAVE_STRTOL
+ ul_adder = (unsigned long int) strtol (str_adder, NULL, 0);
+#else
+ ul_adder = (unsigned long int) atoi (str_adder);
+#endif
+
+ if (mpz_init_set_str (z_a, str_a, 0))
+ {
+ fprintf (stderr, "gen: bad LC scheme parameter `a': %s\n", str_a);
+ exit (1);
+ }
+ if (ULONG_MAX == ul_adder)
+ {
+ fprintf (stderr, "gen: bad LC scheme parameter `c': %s\n",
+ str_adder);
+ exit (1);
+ }
+ m2exp = atol (str_m);
+
+ lc_scheme_from_user = 1;
+ break;
+
+
+ case 'f':
+ rfunc = -1;
+ for (f = 0; f < sizeof (rfunc_str) / sizeof (*rfunc_str); f++)
+ if (!strcmp (optarg, rfunc_str[f]))
+ {
+ rfunc = f;
+ break;
+ }
+ if (rfunc == -1)
+ {
+ fputs (usage, stderr);
+ exit (1);
+ }
+ break;
+
+ case 'g': /* algorithm */
+ ralg = -1;
+ for (f = 0; f < sizeof (ralg_str) / sizeof (*ralg_str); f++)
+ if (!strcmp (optarg, ralg_str[f]))
+ {
+ ralg = f;
+ break;
+ }
+ if (ralg == -1)
+ {
+ fputs (usage, stderr);
+ exit (1);
+ }
+ break;
+
+ case 'm': /* max for mpz_urandomm() */
+ if (mpz_set_str (z_mmax, optarg, 0))
+ {
+ fprintf (stderr, "gen: bad max value: %s\n", optarg);
+ exit (1);
+ }
+ break;
+
+ case 'p': /* print seed on stderr */
+ printseed = 1;
+ break;
+
+ case 'q': /* quiet */
+ quiet_flag = 1;
+ break;
+
+ case 's': /* user provided seed */
+ if (mpz_set_str (z_seed, optarg, 0))
+ {
+ fprintf (stderr, "gen: bad seed argument %s\n", optarg);
+ exit (1);
+ }
+ seed_from_user = 1;
+ break;
+
+ case 'z':
+ size = atoi (optarg);
+ if (size < 1)
+ {
+ fprintf (stderr, "gen: bad size argument (-z %u)\n", size);
+ exit (1);
+ }
+ break;
+
+ case 'x': /* Exclude. from,to */
+ str_xf = optarg;
+ str_xt = strchr (optarg, ',');
+ if (NULL == str_xt)
+ {
+ fprintf (stderr, "gen: bad exclusion parameters: %s\n", optarg);
+ exit (1);
+ }
+ *str_xt++ = '\0';
+ do_exclude = 1;
+ break;
+
+ case 'h':
+ case '?':
+ default:
+ fputs (usage, stderr);
+ exit (1);
+ }
+ argc -= optind;
+ argv += optind;
+
+ if (! seed_from_user)
+ mpz_set_ui (z_seed, (unsigned long int) time (NULL));
+ seed = mpz_get_ui (z_seed);
+ if (printseed)
+ {
+ fprintf (stderr, "gen: seed used: ");
+ mpz_out_str (stderr, output_radix, z_seed);
+ fprintf (stderr, "\n");
+ }
+
+ mpf_set_prec (f1, size);
+
+ /* init random state and plant seed */
+ switch (rfunc)
+ {
+ case RFUNC_mpf_urandomb:
+#if 0
+ /* Don't init a too small generator. */
+ size = PREC (f1) * GMP_LIMB_BITS;
+ /* Fall through. */
+#endif
+ case RFUNC_mpz_urandomb:
+ case RFUNC_mpz_urandomm:
+ switch (ralg)
+ {
+ case RNG_MT:
+ gmp_randinit_mt (rstate);
+ break;
+
+ case RNG_LC:
+ if (! lc_scheme_from_user)
+ gmp_randinit_lc_2exp_size (rstate, MIN (128, size));
+ else
+ gmp_randinit_lc_2exp (rstate, z_a, ul_adder, m2exp);
+ break;
+
+ default:
+ fprintf (stderr, "gen: unsupported algorithm\n");
+ exit (1);
+ }
+
+ gmp_randseed (rstate, z_seed);
+ break;
+
+ case RFUNC_rand:
+ srand (seed);
+ break;
+
+ case RFUNC_random:
+#ifdef __FreeBSD__ /* FIXME */
+ if (seed_from_user)
+ srandom (seed);
+ else
+ srandomdev ();
+#else
+ fprintf (stderr, "gen: unsupported algorithm\n");
+#endif
+ break;
+
+ default:
+ fprintf (stderr, "gen: random function not implemented\n");
+ exit (1);
+ }
+
+ /* set up excludes */
+ if (do_exclude)
+ switch (rfunc)
+ {
+ case RFUNC_mpf_urandomb:
+
+ if (mpf_set_str (f_xf, str_xf, 10) ||
+ mpf_set_str (f_xt, str_xt, 10))
+ {
+ fprintf (stderr, "gen: bad exclusion-from (\"%s\") " \
+ "or exclusion-to (\"%s\") string. no exclusion done.\n",
+ str_xf, str_xt);
+ do_exclude = 0;
+ }
+ break;
+
+ default:
+ fprintf (stderr, "gen: exclusion not implemented for chosen " \
+ "randomization function. all numbers included in sequence.\n");
+ }
+
+ /* generate and print */
+ if (argc > 0)
+ {
+#if HAVE_STRTOUL
+ n = strtoul (argv[0], (char **) NULL, 10);
+#elif HAVE_STRTOL
+ n = (unsigned long int) strtol (argv[0], (char **) NULL, 10);
+#else
+ n = (unsigned long int) atoi (argv[0]);
+#endif
+ }
+
+ for (f = 0; n == 0 || f < n; f++)
+ {
+ switch (rfunc)
+ {
+ case RFUNC_mpz_urandomb:
+ mpz_urandomb (z1, rstate, size);
+ if (quiet_flag)
+ break;
+ if (binout)
+ {
+ /*fwrite ((unsigned int *) z1->_mp_d, 4, 1, stdout);*/
+ fprintf (stderr, "gen: binary output for mpz_urandom* is broken\n");
+ exit (1);
+ }
+ else
+ {
+ mpz_out_str (stdout, output_radix, z1);
+ puts ("");
+ }
+ break;
+
+ case RFUNC_mpz_urandomm:
+ mpz_urandomm (z1, rstate, z_mmax);
+ if (quiet_flag)
+ break;
+ if (binout)
+ {
+ /*fwrite ((unsigned int *) z1->_mp_d, 4, 1, stdout);*/
+ fprintf (stderr, "gen: binary output for mpz_urandom* is broken\n");
+ exit (1);
+ }
+ else
+ {
+ mpz_out_str (stdout, output_radix, z1);
+ puts ("");
+ }
+ break;
+
+ case RFUNC_mpf_urandomb:
+ mpf_urandomb (f1, rstate, size);
+ if (do_exclude)
+ if (mpf_cmp (f1, f_xf) >= 0 && mpf_cmp (f1, f_xt) <= 0)
+ break;
+ if (quiet_flag)
+ break;
+ if (binout)
+ {
+ fprintf (stderr, "gen: binary output for floating point numbers "\
+ "not implemented\n");
+ exit (1);
+ }
+ else
+ {
+ mpf_out_str (stdout, output_radix, 0, f1);
+ puts ("");
+ }
+ break;
+
+ case RFUNC_rand:
+ i = rand ();
+#ifdef FLOAT_OUTPUT
+ if (i)
+ drand = (double) i / (double) RAND_MAX;
+ else
+ drand = 0.0;
+ if (quiet_flag)
+ break;
+ if (binout)
+ fwrite (&drand, sizeof (drand), 1, stdout);
+ else
+ printf ("%e\n", drand);
+#else
+ if (quiet_flag)
+ break;
+ if (binout)
+ fwrite (&i, sizeof (i), 1, stdout);
+ else
+ printf ("%d\n", i);
+#endif
+ break;
+
+ case RFUNC_random:
+ lrand = random ();
+ if (lrand)
+ drand = (double) lrand / (double) 0x7fffffff;
+ else
+ drand = 0;
+ if (quiet_flag)
+ break;
+ if (binout)
+ fwrite (&drand, sizeof (drand), 1, stdout);
+ else
+ printf ("%e\n", drand);
+ break;
+
+ default:
+ fprintf (stderr, "gen: random function not implemented\n");
+ exit (1);
+ }
+
+ }
+
+ /* clean up */
+ switch (rfunc)
+ {
+ case RFUNC_mpz_urandomb:
+ case RFUNC_mpf_urandomb:
+ gmp_randclear (rstate);
+ break;
+ default:
+ break;
+ }
+ mpf_clear (f1);
+ mpf_clear (f_xf);
+ mpf_clear (f_xt);
+ mpz_clear (z1);
+ mpz_clear (z_seed);
+
+ return 0;
+}
+
+static void *debug_dummyz = mpz_dump;
+static void *debug_dummyf = mpf_dump;
diff --git a/gmp/tests/rand/gmpstat.h b/gmp/tests/rand/gmpstat.h
new file mode 100644
index 0000000000..99c5cca195
--- /dev/null
+++ b/gmp/tests/rand/gmpstat.h
@@ -0,0 +1,75 @@
+/* gmpstat.h */
+
+/*
+Copyright 1999 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+/* This file requires the following header files: gmp.h */
+
+#ifndef __GMPSTAT_H__
+#define __GMPSTAT_H__
+
+/* Global debug flag. FIXME: Remove. */
+extern int g_debug;
+#define DEBUG_1 0
+#define DEBUG_2 1
+
+/* Max number of dimensions in spectral test. FIXME: Makw dynamic. */
+#define GMP_SPECT_MAXT 10
+
+void
+mpf_freqt (mpf_t Kp,
+ mpf_t Km,
+ mpf_t X[],
+ const unsigned long int n);
+unsigned long int
+mpz_freqt (mpf_t V,
+ mpz_t X[],
+ unsigned int imax,
+ const unsigned long int n);
+
+/* Low level functions. */
+void
+ks (mpf_t Kp,
+ mpf_t Km,
+ mpf_t X[],
+ void (P) (mpf_t, mpf_t),
+ const unsigned long int n);
+
+void
+ks_table (mpf_t p, mpf_t val, const unsigned int n);
+
+void
+x2_table (double t[],
+ unsigned int v);
+
+void
+spectral_test (mpf_t rop[], unsigned int T, mpz_t a, mpz_t m);
+void
+vz_dot (mpz_t rop, mpz_t V1[], mpz_t V2[], unsigned int n);
+void
+f_floor (mpf_t rop, mpf_t op);
+
+void
+merit (mpf_t rop, unsigned int t, mpf_t v, mpz_t m);
+double
+merit_u (unsigned int t, mpf_t v, mpz_t m);
+
+/* From separate source files: */
+void zdiv_round (mpz_t rop, mpz_t n, mpz_t d);
+
+#endif /* !__GMPSTAT_H__ */
diff --git a/gmp/tests/rand/spect.c b/gmp/tests/rand/spect.c
new file mode 100644
index 0000000000..596ff3a9c4
--- /dev/null
+++ b/gmp/tests/rand/spect.c
@@ -0,0 +1,137 @@
+/* spect.c -- the spectral test */
+
+/*
+Copyright 1999 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+/* T is upper dimension. Z_A is the LC multiplier, which is
+ relatively prime to Z_M, the LC modulus. The result is put in
+ rop[] with v[t] in rop[t-2]. */
+
+/* BUGS: Due to lazy allocation scheme, maximum T is hard coded to MAXT. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <math.h>
+#include "gmp.h"
+
+#include "gmpstat.h"
+
+int g_debug = 0;
+
+int
+main (int argc, char *argv[])
+{
+ const char usage[] = "usage: spect [-d] a m n\n";
+ int c;
+ unsigned int n;
+ mpz_t a, m;
+ mpf_t res[GMP_SPECT_MAXT], res_min[GMP_SPECT_MAXT], f_tmp;
+ int f;
+
+
+ mpz_init (a);
+ mpz_init (m);
+ for (f = 0; f < GMP_SPECT_MAXT; f++)
+ {
+ mpf_init (res[f]);
+ mpf_init (res_min[f]);
+ }
+ mpf_init (f_tmp);
+ mpf_set_ui (res_min[0], 32768); /* 2^15 */
+ mpf_set_ui (res_min[1], 1024); /* 2^10 */
+ mpf_set_ui (res_min[2], 256); /* 2^8 */
+ mpf_set_ui (res_min[3], 64); /* 2^6 */
+ mpf_set_ui (res_min[4], 32); /* 2^5 */
+
+ while ((c = getopt (argc, argv, "dh")) != -1)
+ switch (c)
+ {
+ case 'd': /* debug */
+ g_debug++;
+ break;
+ case 'h':
+ default:
+ fputs (usage, stderr);
+ exit (1);
+ }
+ argc -= optind;
+ argv += optind;
+
+ if (argc < 3)
+ {
+ fputs (usage, stderr);
+ exit (1);
+ }
+
+ mpz_set_str (a, argv[0], 0);
+ mpz_set_str (m, argv[1], 0);
+ n = (unsigned int) atoi (argv[2]);
+ if (n + 1 > GMP_SPECT_MAXT)
+ n = GMP_SPECT_MAXT + 1;
+
+ spectral_test (res, n, a, m);
+
+ for (f = 0; f < n - 1; f++)
+ {
+ /* print v */
+ printf ("%d: v = ", f + 2);
+ mpf_out_str (stdout, 10, 4, res[f]);
+
+#ifdef PRINT_RAISED_BY_TWO_AS_WELL
+ printf (" (^2 = ");
+ mpf_mul (f_tmp, res[f], res[f]);
+ mpf_out_str (stdout, 10, 4, f_tmp);
+ printf (")");
+#endif /* PRINT_RAISED_BY_TWO_AS_WELL */
+
+ /* print merit */
+ printf (" m = ");
+ merit (f_tmp, f + 2, res[f], m);
+ mpf_out_str (stdout, 10, 4, f_tmp);
+
+ if (mpf_cmp (res[f], res_min[f]) < 0)
+ printf ("\t*** v too low ***");
+ if (mpf_get_d (f_tmp) < .1)
+ printf ("\t*** merit too low ***");
+
+ puts ("");
+ }
+
+ mpz_clear (a);
+ mpz_clear (m);
+ for (f = 0; f < GMP_SPECT_MAXT; f++)
+ {
+ mpf_clear (res[f]);
+ mpf_clear (res_min[f]);
+ }
+ mpf_clear (f_tmp);
+
+ return 0;
+}
+
+
+void
+debug_foo()
+{
+ if (0)
+ {
+ mpz_dump (0);
+ mpf_dump (0);
+ }
+}
diff --git a/gmp/tests/rand/stat.c b/gmp/tests/rand/stat.c
new file mode 100644
index 0000000000..1285ccfb9f
--- /dev/null
+++ b/gmp/tests/rand/stat.c
@@ -0,0 +1,407 @@
+/* stat.c -- statistical tests of random number sequences. */
+
+/*
+Copyright 1999, 2000 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+/* Examples:
+
+ $ gen 1000 | stat
+Test 1000 real numbers.
+
+ $ gen 30000 | stat -2 1000
+Test 1000 real numbers 30 times and then test the 30 results in a
+``second level''.
+
+ $ gen -f mpz_urandomb 1000 | stat -i 0xffffffff
+Test 1000 integers 0 <= X <= 2^32-1.
+
+ $ gen -f mpz_urandomb -z 34 1000 | stat -i 0x3ffffffff
+Test 1000 integers 0 <= X <= 2^34-1.
+
+*/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <math.h>
+#include "gmp.h"
+#include "gmpstat.h"
+
+#if !HAVE_DECL_OPTARG
+extern char *optarg;
+extern int optind, opterr;
+#endif
+
+#define FVECSIZ (100000L)
+
+int g_debug = 0;
+
+static void
+print_ks_results (mpf_t f_p, mpf_t f_p_prob,
+ mpf_t f_m, mpf_t f_m_prob,
+ FILE *fp)
+{
+ double p, pp, m, mp;
+
+ p = mpf_get_d (f_p);
+ m = mpf_get_d (f_m);
+ pp = mpf_get_d (f_p_prob);
+ mp = mpf_get_d (f_m_prob);
+
+ fprintf (fp, "%.4f (%.0f%%)\t", p, pp * 100.0);
+ fprintf (fp, "%.4f (%.0f%%)\n", m, mp * 100.0);
+}
+
+static void
+print_x2_table (unsigned int v, FILE *fp)
+{
+ double t[7];
+ int f;
+
+
+ fprintf (fp, "Chi-square table for v=%u\n", v);
+ fprintf (fp, "1%%\t5%%\t25%%\t50%%\t75%%\t95%%\t99%%\n");
+ x2_table (t, v);
+ for (f = 0; f < 7; f++)
+ fprintf (fp, "%.2f\t", t[f]);
+ fputs ("\n", fp);
+}
+
+
+
+/* Pks () -- Distribution function for KS results with a big n (like 1000
+ or so): F(x) = 1 - pow(e, -2*x^2) [Knuth, vol 2, p.51]. */
+/* gnuplot: plot [0:1] Pks(x), Pks(x) = 1-exp(-2*x**2) */
+
+static void
+Pks (mpf_t p, mpf_t x)
+{
+ double dt; /* temp double */
+
+ mpf_set (p, x);
+ mpf_mul (p, p, p); /* p = x^2 */
+ mpf_mul_ui (p, p, 2); /* p = 2*x^2 */
+ mpf_neg (p, p); /* p = -2*x^2 */
+ /* No pow() in gmp. Use doubles. */
+ /* FIXME: Use exp()? */
+ dt = pow (M_E, mpf_get_d (p));
+ mpf_set_d (p, dt);
+ mpf_ui_sub (p, 1, p);
+}
+
+/* f_freq() -- frequency test on real numbers 0<=f<1*/
+static void
+f_freq (const unsigned l1runs, const unsigned l2runs,
+ mpf_t fvec[], const unsigned long n)
+{
+ unsigned f;
+ mpf_t f_p, f_p_prob;
+ mpf_t f_m, f_m_prob;
+ mpf_t *l1res; /* level 1 result array */
+
+ mpf_init (f_p); mpf_init (f_m);
+ mpf_init (f_p_prob); mpf_init (f_m_prob);
+
+
+ /* Allocate space for 1st level results. */
+ l1res = (mpf_t *) malloc (l2runs * 2 * sizeof (mpf_t));
+ if (NULL == l1res)
+ {
+ fprintf (stderr, "stat: malloc failure\n");
+ exit (1);
+ }
+
+ printf ("\nEquidistribution/Frequency test on real numbers (0<=X<1):\n");
+ printf ("\tKp\t\tKm\n");
+
+ for (f = 0; f < l2runs; f++)
+ {
+ /* f_printvec (fvec, n); */
+ mpf_freqt (f_p, f_m, fvec + f * n, n);
+
+ /* what's the probability of getting these results? */
+ ks_table (f_p_prob, f_p, n);
+ ks_table (f_m_prob, f_m, n);
+
+ if (l1runs == 0)
+ {
+ /*printf ("%u:\t", f + 1);*/
+ print_ks_results (f_p, f_p_prob, f_m, f_m_prob, stdout);
+ }
+ else
+ {
+ /* save result */
+ mpf_init_set (l1res[f], f_p);
+ mpf_init_set (l1res[f + l2runs], f_m);
+ }
+ }
+
+ /* Now, apply the KS test on the results from the 1st level rounds
+ with the distribution
+ F(x) = 1 - pow(e, -2*x^2) [Knuth, vol 2, p.51] */
+
+ if (l1runs != 0)
+ {
+ /*printf ("-------------------------------------\n");*/
+
+ /* The Kp's. */
+ ks (f_p, f_m, l1res, Pks, l2runs);
+ ks_table (f_p_prob, f_p, l2runs);
+ ks_table (f_m_prob, f_m, l2runs);
+ printf ("Kp:\t");
+ print_ks_results (f_p, f_p_prob, f_m, f_m_prob, stdout);
+
+ /* The Km's. */
+ ks (f_p, f_m, l1res + l2runs, Pks, l2runs);
+ ks_table (f_p_prob, f_p, l2runs);
+ ks_table (f_m_prob, f_m, l2runs);
+ printf ("Km:\t");
+ print_ks_results (f_p, f_p_prob, f_m, f_m_prob, stdout);
+ }
+
+ mpf_clear (f_p); mpf_clear (f_m);
+ mpf_clear (f_p_prob); mpf_clear (f_m_prob);
+ free (l1res);
+}
+
+/* z_freq(l1runs, l2runs, zvec, n, max) -- frequency test on integers
+ 0<=z<=MAX */
+static void
+z_freq (const unsigned l1runs,
+ const unsigned l2runs,
+ mpz_t zvec[],
+ const unsigned long n,
+ unsigned int max)
+{
+ mpf_t V; /* result */
+ double d_V; /* result as a double */
+
+ mpf_init (V);
+
+
+ printf ("\nEquidistribution/Frequency test on integers (0<=X<=%u):\n", max);
+ print_x2_table (max, stdout);
+
+ mpz_freqt (V, zvec, max, n);
+
+ d_V = mpf_get_d (V);
+ printf ("V = %.2f (n = %lu)\n", d_V, n);
+
+ mpf_clear (V);
+}
+
+unsigned int stat_debug = 0;
+
+int
+main (argc, argv)
+ int argc;
+ char *argv[];
+{
+ const char usage[] =
+ "usage: stat [-d] [-2 runs] [-i max | -r max] [file]\n" \
+ " file filename\n" \
+ " -2 runs perform 2-level test with RUNS runs on 1st level\n" \
+ " -d increase debugging level\n" \
+ " -i max input is integers 0 <= Z <= MAX\n" \
+ " -r max input is real numbers 0 <= R < 1 and use MAX as\n" \
+ " maximum value when converting real numbers to integers\n" \
+ "";
+
+ mpf_t fvec[FVECSIZ];
+ mpz_t zvec[FVECSIZ];
+ unsigned long int f, n, vecentries;
+ char *filen;
+ FILE *fp;
+ int c;
+ int omitoutput = 0;
+ int realinput = -1; /* 1: input is real numbers 0<=R<1;
+ 0: input is integers 0 <= Z <= MAX. */
+ long l1runs = 0, /* 1st level runs */
+ l2runs = 1; /* 2nd level runs */
+ mpf_t f_temp;
+ mpz_t z_imax; /* max value when converting between
+ real number and integer. */
+ mpf_t f_imax_plus1; /* f_imax + 1 stored in an mpf_t for
+ convenience */
+ mpf_t f_imax_minus1; /* f_imax - 1 stored in an mpf_t for
+ convenience */
+
+
+ mpf_init (f_temp);
+ mpz_init_set_ui (z_imax, 0x7fffffff);
+ mpf_init (f_imax_plus1);
+ mpf_init (f_imax_minus1);
+
+ while ((c = getopt (argc, argv, "d2:i:r:")) != -1)
+ switch (c)
+ {
+ case '2':
+ l1runs = atol (optarg);
+ l2runs = -1; /* set later on */
+ break;
+ case 'd': /* increase debug level */
+ stat_debug++;
+ break;
+ case 'i':
+ if (1 == realinput)
+ {
+ fputs ("stat: options -i and -r are mutually exclusive\n", stderr);
+ exit (1);
+ }
+ if (mpz_set_str (z_imax, optarg, 0))
+ {
+ fprintf (stderr, "stat: bad max value %s\n", optarg);
+ exit (1);
+ }
+ realinput = 0;
+ break;
+ case 'r':
+ if (0 == realinput)
+ {
+ fputs ("stat: options -i and -r are mutually exclusive\n", stderr);
+ exit (1);
+ }
+ if (mpz_set_str (z_imax, optarg, 0))
+ {
+ fprintf (stderr, "stat: bad max value %s\n", optarg);
+ exit (1);
+ }
+ realinput = 1;
+ break;
+ case 'o':
+ omitoutput = atoi (optarg);
+ break;
+ case '?':
+ default:
+ fputs (usage, stderr);
+ exit (1);
+ }
+ argc -= optind;
+ argv += optind;
+
+ if (argc < 1)
+ fp = stdin;
+ else
+ filen = argv[0];
+
+ if (fp != stdin)
+ if (NULL == (fp = fopen (filen, "r")))
+ {
+ perror (filen);
+ exit (1);
+ }
+
+ if (-1 == realinput)
+ realinput = 1; /* default is real numbers */
+
+ /* read file and fill appropriate vec */
+ if (1 == realinput) /* real input */
+ {
+ for (f = 0; f < FVECSIZ ; f++)
+ {
+ mpf_init (fvec[f]);
+ if (!mpf_inp_str (fvec[f], fp, 10))
+ break;
+ }
+ }
+ else /* integer input */
+ {
+ for (f = 0; f < FVECSIZ ; f++)
+ {
+ mpz_init (zvec[f]);
+ if (!mpz_inp_str (zvec[f], fp, 10))
+ break;
+ }
+ }
+ vecentries = n = f; /* number of entries read */
+ fclose (fp);
+
+ if (FVECSIZ == f)
+ fprintf (stderr, "stat: warning: discarding input due to lazy allocation "\
+ "of only %ld entries. sorry.\n", FVECSIZ);
+
+ printf ("Got %lu numbers.\n", n);
+
+ /* convert and fill the other vec */
+ /* since fvec[] contains 0<=f<1 and we want ivec[] to contain
+ 0<=z<=imax and we are truncating all fractions when
+ converting float to int, we have to add 1 to imax.*/
+ mpf_set_z (f_imax_plus1, z_imax);
+ mpf_add_ui (f_imax_plus1, f_imax_plus1, 1);
+ if (1 == realinput) /* fill zvec[] */
+ {
+ for (f = 0; f < n; f++)
+ {
+ mpf_mul (f_temp, fvec[f], f_imax_plus1);
+ mpz_init (zvec[f]);
+ mpz_set_f (zvec[f], f_temp); /* truncating fraction */
+ if (stat_debug > 1)
+ {
+ mpz_out_str (stderr, 10, zvec[f]);
+ fputs ("\n", stderr);
+ }
+ }
+ }
+ else /* integer input; fill fvec[] */
+ {
+ /* mpf_set_z (f_imax_minus1, z_imax);
+ mpf_sub_ui (f_imax_minus1, f_imax_minus1, 1);*/
+ for (f = 0; f < n; f++)
+ {
+ mpf_init (fvec[f]);
+ mpf_set_z (fvec[f], zvec[f]);
+ mpf_div (fvec[f], fvec[f], f_imax_plus1);
+ if (stat_debug > 1)
+ {
+ mpf_out_str (stderr, 10, 0, fvec[f]);
+ fputs ("\n", stderr);
+ }
+ }
+ }
+
+ /* 2 levels? */
+ if (1 != l2runs)
+ {
+ l2runs = n / l1runs;
+ printf ("Doing %ld second level rounds "\
+ "with %ld entries in each round", l2runs, l1runs);
+ if (n % l1runs)
+ printf (" (discarding %ld entr%s)", n % l1runs,
+ n % l1runs == 1 ? "y" : "ies");
+ puts (".");
+ n = l1runs;
+ }
+
+#ifndef DONT_FFREQ
+ f_freq (l1runs, l2runs, fvec, n);
+#endif
+#ifdef DO_ZFREQ
+ z_freq (l1runs, l2runs, zvec, n, mpz_get_ui (z_imax));
+#endif
+
+ mpf_clear (f_temp); mpz_clear (z_imax);
+ mpf_clear (f_imax_plus1);
+ mpf_clear (f_imax_minus1);
+ for (f = 0; f < vecentries; f++)
+ {
+ mpf_clear (fvec[f]);
+ mpz_clear (zvec[f]);
+ }
+
+ return 0;
+}
diff --git a/gmp/tests/rand/statlib.c b/gmp/tests/rand/statlib.c
new file mode 100644
index 0000000000..7cecd6dee2
--- /dev/null
+++ b/gmp/tests/rand/statlib.c
@@ -0,0 +1,837 @@
+/* statlib.c -- Statistical functions for testing the randomness of
+ number sequences. */
+
+/*
+Copyright 1999, 2000 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+/* The theories for these functions are taken from D. Knuth's "The Art
+of Computer Programming: Volume 2, Seminumerical Algorithms", Third
+Edition, Addison Wesley, 1998. */
+
+/* Implementation notes.
+
+The Kolmogorov-Smirnov test.
+
+Eq. (13) in Knuth, p. 50, says that if X1, X2, ..., Xn are independent
+observations arranged into ascending order
+
+ Kp = sqr(n) * max(j/n - F(Xj)) for all 1<=j<=n
+ Km = sqr(n) * max(F(Xj) - (j-1)/n)) for all 1<=j<=n
+
+where F(x) = Pr(X <= x) = probability that (X <= x), which for a
+uniformly distributed random real number between zero and one is
+exactly the number itself (x).
+
+
+The answer to exercise 23 gives the following implementation, which
+doesn't need the observations to be sorted in ascending order:
+
+for (k = 0; k < m; k++)
+ a[k] = 1.0
+ b[k] = 0.0
+ c[k] = 0
+
+for (each observation Xj)
+ Y = F(Xj)
+ k = floor (m * Y)
+ a[k] = min (a[k], Y)
+ b[k] = max (b[k], Y)
+ c[k] += 1
+
+ j = 0
+ rp = rm = 0
+ for (k = 0; k < m; k++)
+ if (c[k] > 0)
+ rm = max (rm, a[k] - j/n)
+ j += c[k]
+ rp = max (rp, j/n - b[k])
+
+Kp = sqr (n) * rp
+Km = sqr (n) * rm
+
+*/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+
+#include "gmp.h"
+#include "gmpstat.h"
+
+/* ks (Kp, Km, X, P, n) -- Perform a Kolmogorov-Smirnov test on the N
+ real numbers between zero and one in vector X. P is the
+ distribution function, called for each entry in X, which should
+ calculate the probability of X being greater than or equal to any
+ number in the sequence. (For a uniformly distributed sequence of
+ real numbers between zero and one, this is simply equal to X.) The
+ result is put in Kp and Km. */
+
+void
+ks (mpf_t Kp,
+ mpf_t Km,
+ mpf_t X[],
+ void (P) (mpf_t, mpf_t),
+ unsigned long int n)
+{
+ mpf_t Kt; /* temp */
+ mpf_t f_x;
+ mpf_t f_j; /* j */
+ mpf_t f_jnq; /* j/n or (j-1)/n */
+ unsigned long int j;
+
+ /* Sort the vector in ascending order. */
+ qsort (X, n, sizeof (__mpf_struct), mpf_cmp);
+
+ /* K-S test. */
+ /* Kp = sqr(n) * max(j/n - F(Xj)) for all 1<=j<=n
+ Km = sqr(n) * max(F(Xj) - (j-1)/n)) for all 1<=j<=n
+ */
+
+ mpf_init (Kt); mpf_init (f_x); mpf_init (f_j); mpf_init (f_jnq);
+ mpf_set_ui (Kp, 0); mpf_set_ui (Km, 0);
+ for (j = 1; j <= n; j++)
+ {
+ P (f_x, X[j-1]);
+ mpf_set_ui (f_j, j);
+
+ mpf_div_ui (f_jnq, f_j, n);
+ mpf_sub (Kt, f_jnq, f_x);
+ if (mpf_cmp (Kt, Kp) > 0)
+ mpf_set (Kp, Kt);
+ if (g_debug > DEBUG_2)
+ {
+ printf ("j=%lu ", j);
+ printf ("P()="); mpf_out_str (stdout, 10, 2, f_x); printf ("\t");
+
+ printf ("jnq="); mpf_out_str (stdout, 10, 2, f_jnq); printf (" ");
+ printf ("diff="); mpf_out_str (stdout, 10, 2, Kt); printf (" ");
+ printf ("Kp="); mpf_out_str (stdout, 10, 2, Kp); printf ("\t");
+ }
+ mpf_sub_ui (f_j, f_j, 1);
+ mpf_div_ui (f_jnq, f_j, n);
+ mpf_sub (Kt, f_x, f_jnq);
+ if (mpf_cmp (Kt, Km) > 0)
+ mpf_set (Km, Kt);
+
+ if (g_debug > DEBUG_2)
+ {
+ printf ("jnq="); mpf_out_str (stdout, 10, 2, f_jnq); printf (" ");
+ printf ("diff="); mpf_out_str (stdout, 10, 2, Kt); printf (" ");
+ printf ("Km="); mpf_out_str (stdout, 10, 2, Km); printf (" ");
+ printf ("\n");
+ }
+ }
+ mpf_sqrt_ui (Kt, n);
+ mpf_mul (Kp, Kp, Kt);
+ mpf_mul (Km, Km, Kt);
+
+ mpf_clear (Kt); mpf_clear (f_x); mpf_clear (f_j); mpf_clear (f_jnq);
+}
+
+/* ks_table(val, n) -- calculate probability for Kp/Km less than or
+ equal to VAL with N observations. See [Knuth section 3.3.1] */
+
+void
+ks_table (mpf_t p, mpf_t val, const unsigned int n)
+{
+ /* We use Eq. (27), Knuth p.58, skipping O(1/n) for simplicity.
+ This shortcut will result in too high probabilities, especially
+ when n is small.
+
+ Pr(Kp(n) <= s) = 1 - pow(e, -2*s^2) * (1 - 2/3*s/sqrt(n) + O(1/n)) */
+
+ /* We have 's' in variable VAL and store the result in P. */
+
+ mpf_t t1, t2;
+
+ mpf_init (t1); mpf_init (t2);
+
+ /* t1 = 1 - 2/3 * s/sqrt(n) */
+ mpf_sqrt_ui (t1, n);
+ mpf_div (t1, val, t1);
+ mpf_mul_ui (t1, t1, 2);
+ mpf_div_ui (t1, t1, 3);
+ mpf_ui_sub (t1, 1, t1);
+
+ /* t2 = pow(e, -2*s^2) */
+#ifndef OLDGMP
+ mpf_pow_ui (t2, val, 2); /* t2 = s^2 */
+ mpf_set_d (t2, exp (-(2.0 * mpf_get_d (t2))));
+#else
+ /* hmmm, gmp doesn't have pow() for floats. use doubles. */
+ mpf_set_d (t2, pow (M_E, -(2 * pow (mpf_get_d (val), 2))));
+#endif
+
+ /* p = 1 - t1 * t2 */
+ mpf_mul (t1, t1, t2);
+ mpf_ui_sub (p, 1, t1);
+
+ mpf_clear (t1); mpf_clear (t2);
+}
+
+static double x2_table_X[][7] = {
+ { -2.33, -1.64, -.674, 0.0, 0.674, 1.64, 2.33 }, /* x */
+ { 5.4289, 2.6896, .454276, 0.0, .454276, 2.6896, 5.4289} /* x^2 */
+};
+
+#define _2D3 ((double) .6666666666)
+
+/* x2_table (t, v, n) -- return chi-square table row for V in T[]. */
+void
+x2_table (double t[],
+ unsigned int v)
+{
+ int f;
+
+
+ /* FIXME: Do a table lookup for v <= 30 since the following formula
+ [Knuth, vol 2, 3.3.1] is only good for v > 30. */
+
+ /* value = v + sqrt(2*v) * X[p] + (2/3) * X[p]^2 - 2/3 + O(1/sqrt(t) */
+ /* NOTE: The O() term is ignored for simplicity. */
+
+ for (f = 0; f < 7; f++)
+ t[f] =
+ v +
+ sqrt (2 * v) * x2_table_X[0][f] +
+ _2D3 * x2_table_X[1][f] - _2D3;
+}
+
+
+/* P(p, x) -- Distribution function. Calculate the probability of X
+being greater than or equal to any number in the sequence. For a
+random real number between zero and one given by a uniformly
+distributed random number generator, this is simply equal to X. */
+
+static void
+P (mpf_t p, mpf_t x)
+{
+ mpf_set (p, x);
+}
+
+/* mpf_freqt() -- Frequency test using KS on N real numbers between zero
+ and one. See [Knuth vol 2, p.61]. */
+void
+mpf_freqt (mpf_t Kp,
+ mpf_t Km,
+ mpf_t X[],
+ const unsigned long int n)
+{
+ ks (Kp, Km, X, P, n);
+}
+
+
+/* The Chi-square test. Eq. (8) in Knuth vol. 2 says that if Y[]
+ holds the observations and p[] is the probability for.. (to be
+ continued!)
+
+ V = 1/n * sum((s=1 to k) Y[s]^2 / p[s]) - n */
+
+void
+x2 (mpf_t V, /* result */
+ unsigned long int X[], /* data */
+ unsigned int k, /* #of categories */
+ void (P) (mpf_t, unsigned long int, void *), /* probability func */
+ void *x, /* extra user data passed to P() */
+ unsigned long int n) /* #of samples */
+{
+ unsigned int f;
+ mpf_t f_t, f_t2; /* temp floats */
+
+ mpf_init (f_t); mpf_init (f_t2);
+
+
+ mpf_set_ui (V, 0);
+ for (f = 0; f < k; f++)
+ {
+ if (g_debug > DEBUG_2)
+ fprintf (stderr, "%u: P()=", f);
+ mpf_set_ui (f_t, X[f]);
+ mpf_mul (f_t, f_t, f_t); /* f_t = X[f]^2 */
+ P (f_t2, f, x); /* f_t2 = Pr(f) */
+ if (g_debug > DEBUG_2)
+ mpf_out_str (stderr, 10, 2, f_t2);
+ mpf_div (f_t, f_t, f_t2);
+ mpf_add (V, V, f_t);
+ if (g_debug > DEBUG_2)
+ {
+ fprintf (stderr, "\tV=");
+ mpf_out_str (stderr, 10, 2, V);
+ fprintf (stderr, "\t");
+ }
+ }
+ if (g_debug > DEBUG_2)
+ fprintf (stderr, "\n");
+ mpf_div_ui (V, V, n);
+ mpf_sub_ui (V, V, n);
+
+ mpf_clear (f_t); mpf_clear (f_t2);
+}
+
+/* Pzf(p, s, x) -- Probability for category S in mpz_freqt(). It's
+ 1/d for all S. X is a pointer to an unsigned int holding 'd'. */
+static void
+Pzf (mpf_t p, unsigned long int s, void *x)
+{
+ mpf_set_ui (p, 1);
+ mpf_div_ui (p, p, *((unsigned int *) x));
+}
+
+/* mpz_freqt(V, X, imax, n) -- Frequency test on integers. [Knuth,
+ vol 2, 3.3.2]. Keep IMAX low on this one, since we loop from 0 to
+ IMAX. 128 or 256 could be nice.
+
+ X[] must not contain numbers outside the range 0 <= X <= IMAX.
+
+ Return value is number of observations actually used, after
+ discarding entries out of range.
+
+ Since X[] contains integers between zero and IMAX, inclusive, we
+ have IMAX+1 categories.
+
+ Note that N should be at least 5*IMAX. Result is put in V and can
+ be compared to output from x2_table (v=IMAX). */
+
+unsigned long int
+mpz_freqt (mpf_t V,
+ mpz_t X[],
+ unsigned int imax,
+ const unsigned long int n)
+{
+ unsigned long int *v; /* result */
+ unsigned int f;
+ unsigned int d; /* number of categories = imax+1 */
+ unsigned int uitemp;
+ unsigned long int usedn;
+
+
+ d = imax + 1;
+
+ v = (unsigned long int *) calloc (imax + 1, sizeof (unsigned long int));
+ if (NULL == v)
+ {
+ fprintf (stderr, "mpz_freqt(): out of memory\n");
+ exit (1);
+ }
+
+ /* count */
+ usedn = n; /* actual number of observations */
+ for (f = 0; f < n; f++)
+ {
+ uitemp = mpz_get_ui(X[f]);
+ if (uitemp > imax) /* sanity check */
+ {
+ if (g_debug)
+ fprintf (stderr, "mpz_freqt(): warning: input insanity: %u, "\
+ "ignored.\n", uitemp);
+ usedn--;
+ continue;
+ }
+ v[uitemp]++;
+ }
+
+ if (g_debug > DEBUG_2)
+ {
+ fprintf (stderr, "counts:\n");
+ for (f = 0; f <= imax; f++)
+ fprintf (stderr, "%u:\t%lu\n", f, v[f]);
+ }
+
+ /* chi-square with k=imax+1 and P(x)=1/(imax+1) for all x.*/
+ x2 (V, v, d, Pzf, (void *) &d, usedn);
+
+ free (v);
+ return (usedn);
+}
+
+/* debug dummy to drag in dump funcs */
+void
+foo_debug ()
+{
+ if (0)
+ {
+ mpf_dump (0);
+#ifndef OLDGMP
+ mpz_dump (0);
+#endif
+ }
+}
+
+/* merit (rop, t, v, m) -- calculate merit for spectral test result in
+ dimension T, see Knuth p. 105. BUGS: Only valid for 2 <= T <=
+ 6. */
+void
+merit (mpf_t rop, unsigned int t, mpf_t v, mpz_t m)
+{
+ int f;
+ mpf_t f_m, f_const, f_pi;
+
+ mpf_init (f_m);
+ mpf_set_z (f_m, m);
+ mpf_init_set_d (f_const, M_PI);
+ mpf_init_set_d (f_pi, M_PI);
+
+ switch (t)
+ {
+ case 2: /* PI */
+ break;
+ case 3: /* PI * 4/3 */
+ mpf_mul_ui (f_const, f_const, 4);
+ mpf_div_ui (f_const, f_const, 3);
+ break;
+ case 4: /* PI^2 * 1/2 */
+ mpf_mul (f_const, f_const, f_pi);
+ mpf_div_ui (f_const, f_const, 2);
+ break;
+ case 5: /* PI^2 * 8/15 */
+ mpf_mul (f_const, f_const, f_pi);
+ mpf_mul_ui (f_const, f_const, 8);
+ mpf_div_ui (f_const, f_const, 15);
+ break;
+ case 6: /* PI^3 * 1/6 */
+ mpf_mul (f_const, f_const, f_pi);
+ mpf_mul (f_const, f_const, f_pi);
+ mpf_div_ui (f_const, f_const, 6);
+ break;
+ default:
+ fprintf (stderr,
+ "spect (merit): can't calculate merit for dimensions > 6\n");
+ mpf_set_ui (f_const, 0);
+ break;
+ }
+
+ /* rop = v^t */
+ mpf_set (rop, v);
+ for (f = 1; f < t; f++)
+ mpf_mul (rop, rop, v);
+ mpf_mul (rop, rop, f_const);
+ mpf_div (rop, rop, f_m);
+
+ mpf_clear (f_m);
+ mpf_clear (f_const);
+ mpf_clear (f_pi);
+}
+
+double
+merit_u (unsigned int t, mpf_t v, mpz_t m)
+{
+ mpf_t rop;
+ double res;
+
+ mpf_init (rop);
+ merit (rop, t, v, m);
+ res = mpf_get_d (rop);
+ mpf_clear (rop);
+ return res;
+}
+
+/* f_floor (rop, op) -- Set rop = floor (op). */
+void
+f_floor (mpf_t rop, mpf_t op)
+{
+ mpz_t z;
+
+ mpz_init (z);
+
+ /* No mpf_floor(). Convert to mpz and back. */
+ mpz_set_f (z, op);
+ mpf_set_z (rop, z);
+
+ mpz_clear (z);
+}
+
+
+/* vz_dot (rop, v1, v2, nelem) -- compute dot product of z-vectors V1,
+ V2. N is number of elements in vectors V1 and V2. */
+
+void
+vz_dot (mpz_t rop, mpz_t V1[], mpz_t V2[], unsigned int n)
+{
+ mpz_t t;
+
+ mpz_init (t);
+ mpz_set_ui (rop, 0);
+ while (n--)
+ {
+ mpz_mul (t, V1[n], V2[n]);
+ mpz_add (rop, rop, t);
+ }
+
+ mpz_clear (t);
+}
+
+void
+spectral_test (mpf_t rop[], unsigned int T, mpz_t a, mpz_t m)
+{
+ /* Knuth "Seminumerical Algorithms, Third Edition", section 3.3.4
+ (pp. 101-103). */
+
+ /* v[t] = min { sqrt (x[1]^2 + ... + x[t]^2) |
+ x[1] + a*x[2] + ... + pow (a, t-1) * x[t] is congruent to 0 (mod m) } */
+
+
+ /* Variables. */
+ unsigned int ui_t;
+ unsigned int ui_i, ui_j, ui_k, ui_l;
+ mpf_t f_tmp1, f_tmp2;
+ mpz_t tmp1, tmp2, tmp3;
+ mpz_t U[GMP_SPECT_MAXT][GMP_SPECT_MAXT],
+ V[GMP_SPECT_MAXT][GMP_SPECT_MAXT],
+ X[GMP_SPECT_MAXT],
+ Y[GMP_SPECT_MAXT],
+ Z[GMP_SPECT_MAXT];
+ mpz_t h, hp, r, s, p, pp, q, u, v;
+
+ /* GMP inits. */
+ mpf_init (f_tmp1);
+ mpf_init (f_tmp2);
+ for (ui_i = 0; ui_i < GMP_SPECT_MAXT; ui_i++)
+ {
+ for (ui_j = 0; ui_j < GMP_SPECT_MAXT; ui_j++)
+ {
+ mpz_init_set_ui (U[ui_i][ui_j], 0);
+ mpz_init_set_ui (V[ui_i][ui_j], 0);
+ }
+ mpz_init_set_ui (X[ui_i], 0);
+ mpz_init_set_ui (Y[ui_i], 0);
+ mpz_init (Z[ui_i]);
+ }
+ mpz_init (tmp1);
+ mpz_init (tmp2);
+ mpz_init (tmp3);
+ mpz_init (h);
+ mpz_init (hp);
+ mpz_init (r);
+ mpz_init (s);
+ mpz_init (p);
+ mpz_init (pp);
+ mpz_init (q);
+ mpz_init (u);
+ mpz_init (v);
+
+ /* Implementation inits. */
+ if (T > GMP_SPECT_MAXT)
+ T = GMP_SPECT_MAXT; /* FIXME: Lazy. */
+
+ /* S1 [Initialize.] */
+ ui_t = 2 - 1; /* NOTE: `t' in description == ui_t + 1
+ for easy indexing */
+ mpz_set (h, a);
+ mpz_set (hp, m);
+ mpz_set_ui (p, 1);
+ mpz_set_ui (pp, 0);
+ mpz_set (r, a);
+ mpz_pow_ui (s, a, 2);
+ mpz_add_ui (s, s, 1); /* s = 1 + a^2 */
+
+ /* S2 [Euclidean step.] */
+ while (1)
+ {
+ if (g_debug > DEBUG_1)
+ {
+ mpz_mul (tmp1, h, pp);
+ mpz_mul (tmp2, hp, p);
+ mpz_sub (tmp1, tmp1, tmp2);
+ if (mpz_cmpabs (m, tmp1))
+ {
+ printf ("***BUG***: h*pp - hp*p = ");
+ mpz_out_str (stdout, 10, tmp1);
+ printf ("\n");
+ }
+ }
+ if (g_debug > DEBUG_2)
+ {
+ printf ("hp = ");
+ mpz_out_str (stdout, 10, hp);
+ printf ("\nh = ");
+ mpz_out_str (stdout, 10, h);
+ printf ("\n");
+ fflush (stdout);
+ }
+
+ if (mpz_sgn (h))
+ mpz_tdiv_q (q, hp, h); /* q = floor(hp/h) */
+ else
+ mpz_set_ui (q, 1);
+
+ if (g_debug > DEBUG_2)
+ {
+ printf ("q = ");
+ mpz_out_str (stdout, 10, q);
+ printf ("\n");
+ fflush (stdout);
+ }
+
+ mpz_mul (tmp1, q, h);
+ mpz_sub (u, hp, tmp1); /* u = hp - q*h */
+
+ mpz_mul (tmp1, q, p);
+ mpz_sub (v, pp, tmp1); /* v = pp - q*p */
+
+ mpz_pow_ui (tmp1, u, 2);
+ mpz_pow_ui (tmp2, v, 2);
+ mpz_add (tmp1, tmp1, tmp2);
+ if (mpz_cmp (tmp1, s) < 0)
+ {
+ mpz_set (s, tmp1); /* s = u^2 + v^2 */
+ mpz_set (hp, h); /* hp = h */
+ mpz_set (h, u); /* h = u */
+ mpz_set (pp, p); /* pp = p */
+ mpz_set (p, v); /* p = v */
+ }
+ else
+ break;
+ }
+
+ /* S3 [Compute v2.] */
+ mpz_sub (u, u, h);
+ mpz_sub (v, v, p);
+
+ mpz_pow_ui (tmp1, u, 2);
+ mpz_pow_ui (tmp2, v, 2);
+ mpz_add (tmp1, tmp1, tmp2);
+ if (mpz_cmp (tmp1, s) < 0)
+ {
+ mpz_set (s, tmp1); /* s = u^2 + v^2 */
+ mpz_set (hp, u);
+ mpz_set (pp, v);
+ }
+ mpf_set_z (f_tmp1, s);
+ mpf_sqrt (rop[ui_t - 1], f_tmp1);
+
+ /* S4 [Advance t.] */
+ mpz_neg (U[0][0], h);
+ mpz_set (U[0][1], p);
+ mpz_neg (U[1][0], hp);
+ mpz_set (U[1][1], pp);
+
+ mpz_set (V[0][0], pp);
+ mpz_set (V[0][1], hp);
+ mpz_neg (V[1][0], p);
+ mpz_neg (V[1][1], h);
+ if (mpz_cmp_ui (pp, 0) > 0)
+ {
+ mpz_neg (V[0][0], V[0][0]);
+ mpz_neg (V[0][1], V[0][1]);
+ mpz_neg (V[1][0], V[1][0]);
+ mpz_neg (V[1][1], V[1][1]);
+ }
+
+ while (ui_t + 1 != T) /* S4 loop */
+ {
+ ui_t++;
+ mpz_mul (r, a, r);
+ mpz_mod (r, r, m);
+
+ /* Add new row and column to U and V. They are initialized with
+ all elements set to zero, so clearing is not necessary. */
+
+ mpz_neg (U[ui_t][0], r); /* U: First col in new row. */
+ mpz_set_ui (U[ui_t][ui_t], 1); /* U: Last col in new row. */
+
+ mpz_set (V[ui_t][ui_t], m); /* V: Last col in new row. */
+
+ /* "Finally, for 1 <= i < t,
+ set q = round (vi1 * r / m),
+ vit = vi1*r - q*m,
+ and Ut=Ut+q*Ui */
+
+ for (ui_i = 0; ui_i < ui_t; ui_i++)
+ {
+ mpz_mul (tmp1, V[ui_i][0], r); /* tmp1=vi1*r */
+ zdiv_round (q, tmp1, m); /* q=round(vi1*r/m) */
+ mpz_mul (tmp2, q, m); /* tmp2=q*m */
+ mpz_sub (V[ui_i][ui_t], tmp1, tmp2);
+
+ for (ui_j = 0; ui_j <= ui_t; ui_j++) /* U[t] = U[t] + q*U[i] */
+ {
+ mpz_mul (tmp1, q, U[ui_i][ui_j]); /* tmp=q*uij */
+ mpz_add (U[ui_t][ui_j], U[ui_t][ui_j], tmp1); /* utj = utj + q*uij */
+ }
+ }
+
+ /* s = min (s, zdot (U[t], U[t]) */
+ vz_dot (tmp1, U[ui_t], U[ui_t], ui_t + 1);
+ if (mpz_cmp (tmp1, s) < 0)
+ mpz_set (s, tmp1);
+
+ ui_k = ui_t;
+ ui_j = 0; /* WARNING: ui_j no longer a temp. */
+
+ /* S5 [Transform.] */
+ if (g_debug > DEBUG_2)
+ printf ("(t, k, j, q1, q2, ...)\n");
+ do
+ {
+ if (g_debug > DEBUG_2)
+ printf ("(%u, %u, %u", ui_t + 1, ui_k + 1, ui_j + 1);
+
+ for (ui_i = 0; ui_i <= ui_t; ui_i++)
+ {
+ if (ui_i != ui_j)
+ {
+ vz_dot (tmp1, V[ui_i], V[ui_j], ui_t + 1); /* tmp1=dot(Vi,Vj). */
+ mpz_abs (tmp2, tmp1);
+ mpz_mul_ui (tmp2, tmp2, 2); /* tmp2 = 2*abs(dot(Vi,Vj) */
+ vz_dot (tmp3, V[ui_j], V[ui_j], ui_t + 1); /* tmp3=dot(Vj,Vj). */
+
+ if (mpz_cmp (tmp2, tmp3) > 0)
+ {
+ zdiv_round (q, tmp1, tmp3); /* q=round(Vi.Vj/Vj.Vj) */
+ if (g_debug > DEBUG_2)
+ {
+ printf (", ");
+ mpz_out_str (stdout, 10, q);
+ }
+
+ for (ui_l = 0; ui_l <= ui_t; ui_l++)
+ {
+ mpz_mul (tmp1, q, V[ui_j][ui_l]);
+ mpz_sub (V[ui_i][ui_l], V[ui_i][ui_l], tmp1); /* Vi=Vi-q*Vj */
+ mpz_mul (tmp1, q, U[ui_i][ui_l]);
+ mpz_add (U[ui_j][ui_l], U[ui_j][ui_l], tmp1); /* Uj=Uj+q*Ui */
+ }
+
+ vz_dot (tmp1, U[ui_j], U[ui_j], ui_t + 1); /* tmp1=dot(Uj,Uj) */
+ if (mpz_cmp (tmp1, s) < 0) /* s = min(s,dot(Uj,Uj)) */
+ mpz_set (s, tmp1);
+ ui_k = ui_j;
+ }
+ else if (g_debug > DEBUG_2)
+ printf (", #"); /* 2|Vi.Vj| <= Vj.Vj */
+ }
+ else if (g_debug > DEBUG_2)
+ printf (", *"); /* i == j */
+ }
+
+ if (g_debug > DEBUG_2)
+ printf (")\n");
+
+ /* S6 [Advance j.] */
+ if (ui_j == ui_t)
+ ui_j = 0;
+ else
+ ui_j++;
+ }
+ while (ui_j != ui_k); /* S5 */
+
+ /* From Knuth p. 104: "The exhaustive search in steps S8-S10
+ reduces the value of s only rarely." */
+#ifdef DO_SEARCH
+ /* S7 [Prepare for search.] */
+ /* Find minimum in (x[1], ..., x[t]) satisfying condition
+ x[k]^2 <= f(y[1], ...,y[t]) * dot(V[k],V[k]) */
+
+ ui_k = ui_t;
+ if (g_debug > DEBUG_2)
+ {
+ printf ("searching...");
+ /*for (f = 0; f < ui_t*/
+ fflush (stdout);
+ }
+
+ /* Z[i] = floor (sqrt (floor (dot(V[i],V[i]) * s / m^2))); */
+ mpz_pow_ui (tmp1, m, 2);
+ mpf_set_z (f_tmp1, tmp1);
+ mpf_set_z (f_tmp2, s);
+ mpf_div (f_tmp1, f_tmp2, f_tmp1); /* f_tmp1 = s/m^2 */
+ for (ui_i = 0; ui_i <= ui_t; ui_i++)
+ {
+ vz_dot (tmp1, V[ui_i], V[ui_i], ui_t + 1);
+ mpf_set_z (f_tmp2, tmp1);
+ mpf_mul (f_tmp2, f_tmp2, f_tmp1);
+ f_floor (f_tmp2, f_tmp2);
+ mpf_sqrt (f_tmp2, f_tmp2);
+ mpz_set_f (Z[ui_i], f_tmp2);
+ }
+
+ /* S8 [Advance X[k].] */
+ do
+ {
+ if (g_debug > DEBUG_2)
+ {
+ printf ("X[%u] = ", ui_k);
+ mpz_out_str (stdout, 10, X[ui_k]);
+ printf ("\tZ[%u] = ", ui_k);
+ mpz_out_str (stdout, 10, Z[ui_k]);
+ printf ("\n");
+ fflush (stdout);
+ }
+
+ if (mpz_cmp (X[ui_k], Z[ui_k]))
+ {
+ mpz_add_ui (X[ui_k], X[ui_k], 1);
+ for (ui_i = 0; ui_i <= ui_t; ui_i++)
+ mpz_add (Y[ui_i], Y[ui_i], U[ui_k][ui_i]);
+
+ /* S9 [Advance k.] */
+ while (++ui_k <= ui_t)
+ {
+ mpz_neg (X[ui_k], Z[ui_k]);
+ mpz_mul_ui (tmp1, Z[ui_k], 2);
+ for (ui_i = 0; ui_i <= ui_t; ui_i++)
+ {
+ mpz_mul (tmp2, tmp1, U[ui_k][ui_i]);
+ mpz_sub (Y[ui_i], Y[ui_i], tmp2);
+ }
+ }
+ vz_dot (tmp1, Y, Y, ui_t + 1);
+ if (mpz_cmp (tmp1, s) < 0)
+ mpz_set (s, tmp1);
+ }
+ }
+ while (--ui_k);
+#endif /* DO_SEARCH */
+ mpf_set_z (f_tmp1, s);
+ mpf_sqrt (rop[ui_t - 1], f_tmp1);
+#ifdef DO_SEARCH
+ if (g_debug > DEBUG_2)
+ printf ("done.\n");
+#endif /* DO_SEARCH */
+ } /* S4 loop */
+
+ /* Clear GMP variables. */
+
+ mpf_clear (f_tmp1);
+ mpf_clear (f_tmp2);
+ for (ui_i = 0; ui_i < GMP_SPECT_MAXT; ui_i++)
+ {
+ for (ui_j = 0; ui_j < GMP_SPECT_MAXT; ui_j++)
+ {
+ mpz_clear (U[ui_i][ui_j]);
+ mpz_clear (V[ui_i][ui_j]);
+ }
+ mpz_clear (X[ui_i]);
+ mpz_clear (Y[ui_i]);
+ mpz_clear (Z[ui_i]);
+ }
+ mpz_clear (tmp1);
+ mpz_clear (tmp2);
+ mpz_clear (tmp3);
+ mpz_clear (h);
+ mpz_clear (hp);
+ mpz_clear (r);
+ mpz_clear (s);
+ mpz_clear (p);
+ mpz_clear (pp);
+ mpz_clear (q);
+ mpz_clear (u);
+ mpz_clear (v);
+
+ return;
+}
diff --git a/gmp/tests/rand/t-iset.c b/gmp/tests/rand/t-iset.c
new file mode 100644
index 0000000000..0414037c19
--- /dev/null
+++ b/gmp/tests/rand/t-iset.c
@@ -0,0 +1,68 @@
+/* Test gmp_randinit_set.
+
+Copyright 2003 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+/* expect after a gmp_randinit_set that the new and old generators will
+ produce the same sequence of numbers */
+void
+check_one (const char *name, gmp_randstate_ptr src)
+{
+ gmp_randstate_t dst;
+ mpz_t sz, dz;
+ int i;
+
+ gmp_randinit_set (dst, src);
+ mpz_init (sz);
+ mpz_init (dz);
+
+ for (i = 0; i < 20; i++)
+ {
+ mpz_urandomb (sz, src, 123);
+ mpz_urandomb (dz, dst, 123);
+
+ if (mpz_cmp (sz, dz) != 0)
+ {
+ printf ("gmp_randinit_set didn't duplicate randstate\n");
+ printf (" algorithm: %s\n", name);
+ gmp_printf (" from src: %#Zx\n", sz);
+ gmp_printf (" from dst: %#Zx\n", dz);
+ abort ();
+ }
+ }
+
+ mpz_clear (sz);
+ mpz_clear (dz);
+ gmp_randclear (dst);
+}
+
+int
+main (int argc, char *argv[])
+{
+ tests_start ();
+
+ call_rand_algs (check_one);
+
+ tests_end ();
+ exit (0);
+}
diff --git a/gmp/tests/rand/t-lc2exp.c b/gmp/tests/rand/t-lc2exp.c
new file mode 100644
index 0000000000..b524441f29
--- /dev/null
+++ b/gmp/tests/rand/t-lc2exp.c
@@ -0,0 +1,217 @@
+/* Exercise the lc2exp random functions.
+
+Copyright 2002, 2011 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+
+/* a=0 and c=0 produces zero results always. */
+void
+check_zero (unsigned long m2exp)
+{
+ gmp_randstate_t r;
+ mpz_t a;
+ unsigned long c;
+ int i;
+
+ mpz_init_set_ui (a, 0L);
+ c = 0L;
+
+ gmp_randinit_lc_2exp (r, a, c, m2exp);
+ gmp_randseed_ui (r, 0L);
+
+ for (i = 0; i < 5; i++)
+ {
+ mpz_urandomb (a, r, 123L);
+ if (mpz_sgn (a) != 0)
+ {
+ printf ("check_zero m2exp=%lu: didn't get zero\n", m2exp);
+ gmp_printf (" rand=%#Zx\n", a);
+ abort ();
+ }
+ }
+
+ mpz_clear (a);
+ gmp_randclear (r);
+}
+
+/* negative a */
+void
+check_nega (void)
+{
+ gmp_randstate_t r;
+ mpz_t a;
+ unsigned long c, m2exp;
+ int i;
+
+ mpz_init (a);
+ mpz_setbit (a, 1000L);
+ mpz_neg (a, a);
+ c = 0L;
+ m2exp = 45L;
+
+ gmp_randinit_lc_2exp (r, a, c, m2exp);
+ gmp_randseed_ui (r, 0L);
+
+ for (i = 0; i < 5; i++)
+ {
+ mpz_urandomb (a, r, 123L);
+ if (mpz_sgn (a) != 0)
+ printf ("check_nega m2exp=%lu: didn't get zero\n", m2exp);
+ }
+
+ mpz_clear (a);
+ gmp_randclear (r);
+}
+
+void
+check_bigc (void)
+{
+ gmp_randstate_t r;
+ mpz_t a;
+ unsigned long c, m2exp, bits;
+ int i;
+
+ mpz_init_set_ui (a, 0L);
+ c = ULONG_MAX;
+ m2exp = 8;
+
+ gmp_randinit_lc_2exp (r, a, c, m2exp);
+ gmp_randseed_ui (r, 0L);
+
+ for (i = 0; i < 20; i++)
+ {
+ bits = 123L;
+ mpz_urandomb (a, r, bits);
+ if (mpz_sgn (a) < 0 || mpz_sizeinbase (a, 2) > bits)
+ {
+ printf ("check_bigc: mpz_urandomb out of range\n");
+ printf (" m2exp=%lu\n", m2exp);
+ gmp_printf (" rand=%#ZX\n", a);
+ gmp_printf (" sizeinbase2=%u\n", mpz_sizeinbase (a, 2));
+ abort ();
+ }
+ }
+
+ mpz_clear (a);
+ gmp_randclear (r);
+}
+
+void
+check_bigc1 (void)
+{
+ gmp_randstate_t r;
+ mpz_t a;
+ unsigned long c, m2exp;
+ int i;
+
+ mpz_init_set_ui (a, 0L);
+ c = ULONG_MAX;
+ m2exp = 2;
+
+ gmp_randinit_lc_2exp (r, a, c, m2exp);
+ gmp_randseed_ui (r, 0L);
+
+ for (i = 0; i < 20; i++)
+ {
+ mpz_urandomb (a, r, 1L);
+ if (mpz_cmp_ui (a, 1L) != 0)
+ {
+ printf ("check_bigc1: mpz_urandomb didn't give 1\n");
+ printf (" m2exp=%lu\n", m2exp);
+ gmp_printf (" got rand=%#ZX\n", a);
+ abort ();
+ }
+ }
+
+ mpz_clear (a);
+ gmp_randclear (r);
+}
+
+/* Checks parameters which triggered an assertion failure in the past.
+ Happened when limbs(a)+limbs(c) < bits_to_limbs(m2exp). */
+void
+check_bigm (void)
+{
+ gmp_randstate_t rstate;
+ mpz_t a;
+
+ mpz_init_set_ui (a, 5L);
+ gmp_randinit_lc_2exp (rstate, a, 1L, 384L);
+
+ mpz_urandomb (a, rstate, 20L);
+
+ gmp_randclear (rstate);
+ mpz_clear (a);
+}
+
+/* Checks for seeds bigger than the modulus. */
+void
+check_bigs (void)
+{
+ gmp_randstate_t rstate;
+ mpz_t sd, a;
+ int i;
+
+ mpz_init (sd);
+ mpz_setbit (sd, 300L);
+ mpz_sub_ui (sd, sd, 1L);
+ mpz_clrbit (sd, 13L);
+ mpz_init_set_ui (a, 123456789L);
+
+ gmp_randinit_lc_2exp (rstate, a, 5L, 64L);
+
+ for (i = 0; i < 20; i++)
+ {
+ mpz_neg (sd, sd);
+ gmp_randseed (rstate, sd);
+ mpz_mul_ui (sd, sd, 7L);
+
+ mpz_urandomb (a, rstate, 80L);
+ }
+
+ gmp_randclear (rstate);
+ mpz_clear (a);
+ mpz_clear (sd);
+}
+
+int
+main (void)
+{
+ tests_start ();
+
+ check_zero (2L);
+ check_zero (7L);
+ check_zero (32L);
+ check_zero (64L);
+ check_zero (1000L);
+
+ check_nega ();
+ check_bigc ();
+ check_bigc1 ();
+
+ check_bigm ();
+ check_bigs ();
+
+ tests_end ();
+ exit (0);
+}
diff --git a/gmp/tests/rand/t-mt.c b/gmp/tests/rand/t-mt.c
new file mode 100644
index 0000000000..3aabffe88d
--- /dev/null
+++ b/gmp/tests/rand/t-mt.c
@@ -0,0 +1,83 @@
+/* Test the Mersenne Twister random number generator.
+
+Copyright 2002 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+#ifndef TRUE
+#define TRUE (1)
+#endif
+#ifndef FALSE
+#define FALSE (0)
+#endif
+
+/* Test that the sequence without seeding equals the sequence with the
+ default seed. */
+int
+chk_default_seed (void)
+{
+ gmp_randstate_t r1, r2;
+ mpz_t a, b;
+ int i;
+ int ok = TRUE;
+
+ mpz_init2 (a, 19936L);
+ mpz_init2 (b, 19936L);
+
+ gmp_randinit_mt (r1);
+ gmp_randinit_mt (r2);
+ gmp_randseed_ui (r2, 5489L); /* Must match DEFAULT_SEED in randmt.c */
+ for (i = 0; i < 3; i++)
+ {
+ /* Extract one whole buffer per iteration. */
+ mpz_urandomb (a, r1, 19936L);
+ mpz_urandomb (b, r2, 19936L);
+ if (mpz_cmp (a, b) != 0)
+ {
+ ok = FALSE;
+ printf ("Default seed fails in iteration %d\n", i);
+ break;
+ }
+ }
+ gmp_randclear (r1);
+ gmp_randclear (r2);
+
+ mpz_clear (a);
+ mpz_clear (b);
+ return ok;
+}
+
+int
+main (int argc, char *argv[])
+{
+ int ok;
+
+ tests_start ();
+
+ ok = chk_default_seed ();
+
+ tests_end ();
+
+ if (ok)
+ return 0; /* pass */
+ else
+ return 1; /* fail */
+}
diff --git a/gmp/tests/rand/t-rand.c b/gmp/tests/rand/t-rand.c
new file mode 100644
index 0000000000..1265a0d0a5
--- /dev/null
+++ b/gmp/tests/rand/t-rand.c
@@ -0,0 +1,290 @@
+/* t-rand -- Test random number generators. */
+
+/*
+Copyright 2000, 2001 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdlib.h>
+#include <stdio.h>
+#include "gmp.h"
+
+#define SEED 1
+#define BASE 16
+#define ENTS 10 /* Number of entries in array when
+ printing. */
+
+/* These were generated by this very program. Do not edit! */
+/* Integers. */
+const char *z1[ENTS] = {"0", "1", "1", "1", "1", "0", "1", "1", "1", "1"};
+const char *z2[ENTS] = {"0", "3", "1", "3", "3", "0", "3", "3", "3", "1"};
+const char *z3[ENTS] = {"4", "3", "1", "7", "3", "0", "3", "3", "3", "1"};
+const char *z4[ENTS] = {"c", "3", "1", "f", "b", "8", "3", "3", "3", "1"};
+const char *z5[ENTS] = {"1c", "13", "11", "1f", "b", "18", "3", "13", "3", "1"};
+
+const char *z10[ENTS] = {"29c", "213", "f1", "17f", "12b", "178", "383", "d3", "3a3", "281"};
+
+const char *z15[ENTS] = {"29c", "1a13", "74f1", "257f", "592b", "4978", "4783", "7cd3", "5ba3", "4681"};
+const char *z16[ENTS] = {"29c", "9a13", "74f1", "a57f", "d92b", "4978", "c783", "fcd3", "5ba3", "c681"};
+const char *z17[ENTS] = {"51e", "f17a", "54ff", "1a335", "cf65", "5d6f", "583f", "618f", "1bc6", "98ff"};
+
+const char *z31[ENTS] = {"3aecd515", "13ae8ec6", "518c8090", "81ca077", "70b7134", "7ee78d71", "323a7636", "2122cb1a", "19811941", "41fd605"};
+const char *z32[ENTS] = {"baecd515", "13ae8ec6", "518c8090", "881ca077", "870b7134", "7ee78d71", "323a7636", "a122cb1a", "99811941", "841fd605"};
+const char *z33[ENTS] = {"1faf4cca", "15d6ef83b", "9095fe72", "1b6a3dff6", "b17cbddd", "16e5209d4", "6f65b12c", "493bbbc6", "abf2a5d5", "6d491a3c"};
+
+const char *z63[ENTS] = {"48a74f367fa7b5c8", "3ba9e9dc1b263076", "1e0ac84e7678e0fb", "11416581728b3e35", "36ab610523f0f1f7", "3e540e8e95c0eb4b", "439ae16057dbc9d3", "734fb260db243950", "7d3a317effc289bf", "1d80301fb3d1a0d1"};
+const char *z64[ENTS] = {"48a74f367fa7b5c8", "bba9e9dc1b263076", "9e0ac84e7678e0fb", "11416581728b3e35", "b6ab610523f0f1f7", "be540e8e95c0eb4b", "439ae16057dbc9d3", "f34fb260db243950", "fd3a317effc289bf", "1d80301fb3d1a0d1"};
+const char *z65[ENTS] = {"1ff77710d846d49f0", "1b1411701d709ee10", "31ffa81a208b6af4", "446638d431d3c681", "df5c569d5baa8b55", "197d99ea9bf28e5a0", "191ade09edd94cfae", "194acefa6dde5e18d", "1afc1167c56272d92", "d092994da72f206f"};
+
+const char *z127[ENTS] = {"2f66ba932aaf58a071fd8f0742a99a0c", "73cfa3c664c9c1753507ca60ec6b8425", "53ea074ca131dec12cd68b8aa8e20278", "3cf5ac8c343532f8a53cc0eb47581f73", "50c11d5869e208aa1b9aa317b8c2d0a9", "b23163c892876472b1ef19642eace09", "489f4c03d41f87509c8d6c90ce674f95", "2ab8748c96aa6762ea1932b44c9d7164", "98cb5591fc05ad31afbbc1d67b90edd", "77848bb991fd0be331adcf1457fbc672"};
+const char *z128[ENTS] = {"af66ba932aaf58a071fd8f0742a99a0c", "73cfa3c664c9c1753507ca60ec6b8425", "53ea074ca131dec12cd68b8aa8e20278", "3cf5ac8c343532f8a53cc0eb47581f73", "50c11d5869e208aa1b9aa317b8c2d0a9", "8b23163c892876472b1ef19642eace09", "489f4c03d41f87509c8d6c90ce674f95", "aab8748c96aa6762ea1932b44c9d7164", "98cb5591fc05ad31afbbc1d67b90edd", "f7848bb991fd0be331adcf1457fbc672"};
+
+/* Floats. */
+const char *f1[ENTS] = {"0.@0", "0.8@0", "0.8@0", "0.8@0", "0.8@0", "0.@0", "0.8@0", "0.8@0", "0.8@0", "0.8@0"};
+const char *f2[ENTS] = {"0.@0", "0.c@0", "0.4@0", "0.c@0", "0.c@0", "0.@0", "0.c@0", "0.c@0", "0.c@0", "0.4@0"};
+const char *f3[ENTS] = {"0.8@0", "0.6@0", "0.2@0", "0.e@0", "0.6@0", "0.@0", "0.6@0", "0.6@0", "0.6@0", "0.2@0"};
+const char *f4[ENTS] = {"0.c@0", "0.3@0", "0.1@0", "0.f@0", "0.b@0", "0.8@0", "0.3@0", "0.3@0", "0.3@0", "0.1@0"};
+const char *f5[ENTS] = {"0.e@0", "0.98@0", "0.88@0", "0.f8@0", "0.58@0", "0.c@0", "0.18@0", "0.98@0", "0.18@0", "0.8@-1"};
+
+const char *f10[ENTS] = {"0.a7@0", "0.84c@0", "0.3c4@0", "0.5fc@0", "0.4ac@0", "0.5e@0", "0.e0c@0", "0.34c@0", "0.e8c@0", "0.a04@0"};
+
+const char *f15[ENTS] = {"0.538@-1", "0.3426@0", "0.e9e2@0", "0.4afe@0", "0.b256@0", "0.92f@0", "0.8f06@0", "0.f9a6@0", "0.b746@0", "0.8d02@0"};
+const char *f16[ENTS] = {"0.29c@-1", "0.9a13@0", "0.74f1@0", "0.a57f@0", "0.d92b@0", "0.4978@0", "0.c783@0", "0.fcd3@0", "0.5ba3@0", "0.c681@0"};
+const char *f17[ENTS] = {"0.28f@-1", "0.78bd@0", "0.2a7f8@0", "0.d19a8@0", "0.67b28@0", "0.2eb78@0", "0.2c1f8@0", "0.30c78@0", "0.de3@-1", "0.4c7f8@0"};
+
+const char *f31[ENTS] = {"0.75d9aa2a@0", "0.275d1d8c@0", "0.a319012@0", "0.103940ee@0", "0.e16e268@-1", "0.fdcf1ae2@0", "0.6474ec6c@0", "0.42459634@0", "0.33023282@0", "0.83fac0a@-1"};
+const char *f32[ENTS] = {"0.baecd515@0", "0.13ae8ec6@0", "0.518c809@0", "0.881ca077@0", "0.870b7134@0", "0.7ee78d71@0", "0.323a7636@0", "0.a122cb1a@0", "0.99811941@0", "0.841fd605@0"};
+const char *f33[ENTS] = {"0.fd7a665@-1", "0.aeb77c1d8@0", "0.484aff39@0", "0.db51effb@0", "0.58be5eee8@0", "0.b72904ea@0", "0.37b2d896@0", "0.249ddde3@0", "0.55f952ea8@0", "0.36a48d1e@0"};
+
+const char *f63[ENTS] = {"0.914e9e6cff4f6b9@0", "0.7753d3b8364c60ec@0", "0.3c15909cecf1c1f6@0", "0.2282cb02e5167c6a@0", "0.6d56c20a47e1e3ee@0", "0.7ca81d1d2b81d696@0", "0.8735c2c0afb793a6@0", "0.e69f64c1b64872a@0", "0.fa7462fdff85137e@0", "0.3b00603f67a341a2@0"};
+const char *f64[ENTS] = {"0.48a74f367fa7b5c8@0", "0.bba9e9dc1b263076@0", "0.9e0ac84e7678e0fb@0", "0.11416581728b3e35@0", "0.b6ab610523f0f1f7@0", "0.be540e8e95c0eb4b@0", "0.439ae16057dbc9d3@0", "0.f34fb260db24395@0", "0.fd3a317effc289bf@0", "0.1d80301fb3d1a0d1@0"};
+const char *f65[ENTS] = {"0.ffbbb886c236a4f8@0", "0.d8a08b80eb84f708@0", "0.18ffd40d1045b57a@0", "0.22331c6a18e9e3408@0", "0.6fae2b4eadd545aa8@0", "0.cbeccf54df9472d@0", "0.c8d6f04f6eca67d7@0", "0.ca5677d36ef2f0c68@0", "0.d7e08b3e2b1396c9@0", "0.68494ca6d39790378@0"};
+
+const char *f127[ENTS] = {"0.5ecd7526555eb140e3fb1e0e85533418@0", "0.e79f478cc99382ea6a0f94c1d8d7084a@0", "0.a7d40e994263bd8259ad171551c404f@0", "0.79eb5918686a65f14a7981d68eb03ee6@0", "0.a1823ab0d3c411543735462f7185a152@0", "0.16462c791250ec8e563de32c85d59c12@0", "0.913e9807a83f0ea1391ad9219cce9f2a@0", "0.5570e9192d54cec5d4326568993ae2c8@0", "0.13196ab23f80b5a635f7783acf721dba@0", "0.ef09177323fa17c6635b9e28aff78ce4@0"};
+const char *f128[ENTS] = {"0.af66ba932aaf58a071fd8f0742a99a0c@0", "0.73cfa3c664c9c1753507ca60ec6b8425@0", "0.53ea074ca131dec12cd68b8aa8e20278@0", "0.3cf5ac8c343532f8a53cc0eb47581f73@0", "0.50c11d5869e208aa1b9aa317b8c2d0a9@0", "0.8b23163c892876472b1ef19642eace09@0", "0.489f4c03d41f87509c8d6c90ce674f95@0", "0.aab8748c96aa6762ea1932b44c9d7164@0", "0.98cb5591fc05ad31afbbc1d67b90edd@-1", "0.f7848bb991fd0be331adcf1457fbc672@0"};
+
+
+struct rt
+{
+ const char **s;
+ int nbits;
+};
+
+static struct rt zarr[] =
+{
+ {z1, 1},
+ {z2, 2},
+ {z3, 3},
+ {z4, 4},
+ {z5, 5},
+ {z10, 10},
+ {z15, 15},
+ {z16, 16},
+ {z17, 17},
+ {z31, 31},
+ {z32, 32},
+ {z33, 33},
+ {z63, 63},
+ {z64, 64},
+ {z65, 65},
+ {z127, 127},
+ {z128, 128},
+ {NULL, 0}
+};
+
+static struct rt farr[] =
+{
+ {f1, 1},
+ {f2, 2},
+ {f3, 3},
+ {f4, 4},
+ {f5, 5},
+ {f10, 10},
+ {f15, 15},
+ {f16, 16},
+ {f17, 17},
+ {f31, 31},
+ {f32, 32},
+ {f33, 33},
+ {f63, 63},
+ {f64, 64},
+ {f65, 65},
+ {f127, 127},
+ {f128, 128},
+ {NULL, 0}
+};
+
+
+int
+main (int argc, char *argv[])
+{
+ static char usage[] = "\
+usage: t-rand [function nbits]\n\
+ function is one of z, f\n\
+ nbits is number of bits\n\
+";
+ gmp_randstate_t rstate;
+ mpz_t z, rz;
+ mpf_t f, rf;
+ enum { Z, F } func = Z;
+ int nbits = 1;
+ int verify_mode_flag = 1;
+ int i;
+ struct rt *a;
+
+
+ if (argc > 1)
+ {
+ if (argc < 3)
+ {
+ fputs (usage, stderr);
+ exit (1);
+ }
+ verify_mode_flag = 0;
+ if (*argv[1] == 'z')
+ func = Z;
+ if (*argv[1] == 'f')
+ func = F;
+ nbits = atoi (argv[2]);
+ }
+
+ mpz_init (rz);
+
+ if (verify_mode_flag)
+ {
+#ifdef VERBOSE
+ printf ("%s: verifying random numbers: ", argv[0]);
+#endif
+
+ /* Test z. */
+ mpz_init (z);
+ for (a = zarr; a->s != NULL; a++)
+ {
+ gmp_randinit (rstate, GMP_RAND_ALG_LC, a->nbits);
+ if (gmp_errno != GMP_ERROR_NONE)
+ exit (1);
+ gmp_randseed_ui (rstate, SEED);
+
+ for (i = 0; i < ENTS; i++)
+ {
+ mpz_urandomb (rz, rstate, a->nbits);
+ mpz_set_str (z, a->s[i], BASE);
+ if (mpz_cmp (z, rz) != 0)
+ {
+ printf ("z%d: ", a->nbits);
+ mpz_out_str (stdout, BASE, rz);
+ printf (" should be ");
+ mpz_out_str (stdout, BASE, z);
+ puts ("");
+ exit (1);
+ }
+ }
+#ifdef VERBOSE
+ printf ("z%d ", a->nbits);
+#endif
+ gmp_randclear (rstate);
+ }
+ mpz_clear (z);
+
+
+ /* Test f. */
+ for (a = farr; a->s != NULL; a++)
+ {
+ gmp_randinit (rstate, GMP_RAND_ALG_LC, a->nbits);
+ if (gmp_errno != GMP_ERROR_NONE)
+ exit (1);
+ gmp_randseed_ui (rstate, SEED);
+
+ mpf_init2 (f, a->nbits);
+ mpf_init2 (rf, a->nbits);
+ for (i = 0; i < ENTS; i++)
+ {
+ mpf_urandomb (rf, rstate, a->nbits);
+ mpf_set_str (f, a->s[i], BASE);
+ if (mpf_cmp (f, rf) != 0)
+ {
+ printf ("f%d: ", a->nbits);
+ mpf_out_str (stdout, BASE, a->nbits, rf);
+ printf (" should be ");
+ mpf_out_str (stdout, BASE, a->nbits, f);
+ puts ("");
+ exit (1);
+ }
+ }
+#ifdef VERBOSE
+ printf ("f%d ", a->nbits);
+#endif
+ gmp_randclear (rstate);
+ mpf_clear (f);
+ mpf_clear (rf);
+ }
+
+#ifdef VERBOSE
+ puts ("");
+#endif
+ }
+ else /* Print mode. */
+ {
+ gmp_randinit (rstate, GMP_RAND_ALG_LC, nbits);
+ if (gmp_errno != GMP_ERROR_NONE)
+ exit (1);
+ gmp_randseed_ui (rstate, SEED);
+
+ switch (func)
+ {
+ case Z:
+ printf ("char *z%d[ENTS] = {", nbits);
+ for (i = 0; i < ENTS; i++)
+ {
+ mpz_urandomb (rz, rstate, nbits);
+ printf ("\"");
+ mpz_out_str (stdout, BASE, rz);
+ printf ("\"");
+ if (i != ENTS - 1)
+ printf (", ");
+ }
+ printf ("};\n");
+ printf (" {z%d, %d},\n", nbits, nbits);
+ break;
+
+ case F:
+ printf ("char *f%d[ENTS] = {", nbits);
+ mpf_init2 (rf, nbits);
+ for (i = 0; i < ENTS; i++)
+ {
+ mpf_urandomb (rf, rstate, nbits);
+ printf ("\"");
+ mpf_out_str (stdout, BASE, nbits, rf);
+ printf ("\"");
+ if (i != ENTS - 1)
+ printf (", ");
+ }
+ printf ("};\n");
+ printf (" {f%d, %d},\n", nbits, nbits);
+ mpf_clear (rf);
+ break;
+
+ default:
+ exit (1);
+ }
+
+ gmp_randclear (rstate);
+ }
+
+ mpz_clear (rz);
+
+ return 0;
+}
diff --git a/gmp/tests/rand/t-urbui.c b/gmp/tests/rand/t-urbui.c
new file mode 100644
index 0000000000..bac8b6d5a0
--- /dev/null
+++ b/gmp/tests/rand/t-urbui.c
@@ -0,0 +1,65 @@
+/* Test gmp_urandomb_ui.
+
+Copyright 2003, 2005 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+/* Expect numbers generated by rstate to obey the number of bits requested.
+ No point testing bits==BITS_PER_ULONG, since any return is acceptable in
+ that case. */
+void
+check_one (const char *name, gmp_randstate_ptr rstate)
+{
+ unsigned long bits, limit, got;
+ int i;
+
+ for (bits = 0; bits < BITS_PER_ULONG; bits++)
+ {
+ /* will demand got < limit */
+ limit = (1UL << bits);
+
+ for (i = 0; i < 5; i++)
+ {
+ got = gmp_urandomb_ui (rstate, bits);
+ if (got >= limit)
+ {
+ printf ("Return value out of range:\n");
+ printf (" algorithm: %s\n", name);
+ printf (" bits: %lu\n", bits);
+ printf (" limit: %#lx\n", limit);
+ printf (" got: %#lx\n", got);
+ abort ();
+ }
+ }
+ }
+}
+
+int
+main (int argc, char *argv[])
+{
+ tests_start ();
+
+ call_rand_algs (check_one);
+
+ tests_end ();
+ exit (0);
+}
diff --git a/gmp/tests/rand/t-urmui.c b/gmp/tests/rand/t-urmui.c
new file mode 100644
index 0000000000..c58d740f4e
--- /dev/null
+++ b/gmp/tests/rand/t-urmui.c
@@ -0,0 +1,75 @@
+/* Test gmp_urandomm_ui.
+
+Copyright 2003, 2005 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+/* Expect numbers generated by rstate to obey the limit requested. */
+void
+check_one (const char *name, gmp_randstate_ptr rstate)
+{
+ static const unsigned long n_table[] = {
+ 1, 2, 3, 4, 5, 6, 7, 8,
+ 123, 456, 789,
+
+ 255, 256, 257,
+ 1023, 1024, 1025,
+ 32767, 32768, 32769,
+
+ ULONG_MAX/2-2, ULONG_MAX/2-1, ULONG_MAX/2, ULONG_MAX/2+1, ULONG_MAX/2+2,
+
+ ULONG_MAX-2, ULONG_MAX-1, ULONG_MAX,
+ };
+
+ unsigned long got, n;
+ int i, j;
+
+ for (i = 0; i < numberof (n_table); i++)
+ {
+ n = n_table[i];
+
+ for (j = 0; j < 5; j++)
+ {
+ got = gmp_urandomm_ui (rstate, n);
+ if (got >= n)
+ {
+ printf ("Return value out of range:\n");
+ printf (" algorithm: %s\n", name);
+ printf (" n: %#lx\n", n);
+ printf (" got: %#lx\n", got);
+ abort ();
+ }
+ }
+ }
+}
+
+
+int
+main (int argc, char *argv[])
+{
+ tests_start ();
+
+ call_rand_algs (check_one);
+
+ tests_end ();
+ exit (0);
+}
diff --git a/gmp/tests/rand/t-urndmm.c b/gmp/tests/rand/t-urndmm.c
new file mode 100644
index 0000000000..d5a9217b40
--- /dev/null
+++ b/gmp/tests/rand/t-urndmm.c
@@ -0,0 +1,159 @@
+/* Test mpz_urandomm.
+
+Copyright 2002 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+#ifndef TRUE
+#define TRUE (1)
+#endif
+#ifndef FALSE
+#define FALSE (0)
+#endif
+
+int
+check_params (void)
+{
+ gmp_randstate_t r1, r2;
+ mpz_t a, b, m;
+ int i;
+ int result;
+
+ result = TRUE;
+
+ mpz_init (a);
+ mpz_init (b);
+ mpz_init (m);
+
+ if (result)
+ {
+ /* Test the consistency between urandomm and urandomb. */
+ gmp_randinit_default (r1);
+ gmp_randinit_default (r2);
+ gmp_randseed_ui (r1, 85L);
+ gmp_randseed_ui (r2, 85L);
+ mpz_set_ui (m, 0L);
+ mpz_setbit (m, 80L);
+ for (i = 0; i < 100; i++)
+ {
+ mpz_urandomm (a, r1, m);
+ mpz_urandomb (b, r2, 80L);
+ if (mpz_cmp (a, b) != 0)
+ {
+ result = FALSE;
+ printf ("mpz_urandomm != mpz_urandomb\n");
+ break;
+ }
+ }
+ gmp_randclear (r1);
+ gmp_randclear (r2);
+ }
+
+ if (result)
+ {
+ /* Test that mpz_urandomm returns the correct result with a
+ broken LC. */
+ mpz_set_ui (a, 0L);
+ gmp_randinit_lc_2exp (r1, a, 0xffL, 8L);
+ mpz_set_ui (m, 5L);
+ /* Warning: This code hangs in gmp 4.1 and below */
+ for (i = 0; i < 100; i++)
+ {
+ mpz_urandomm (a, r1, m);
+ if (mpz_cmp_ui (a, 2L) != 0)
+ {
+ result = FALSE;
+ gmp_printf ("mpz_urandomm returns %Zd instead of 2\n", a);
+ break;
+ }
+ }
+ gmp_randclear (r1);
+ }
+
+ if (result)
+ {
+ /* Test that the results are always in range for either
+ positive or negative values of m. */
+ gmp_randinit_default (r1);
+ mpz_set_ui (m, 5L);
+ mpz_set_si (b, -5L);
+ for (i = 0; i < 100; i++)
+ {
+ mpz_urandomm (a, r1, m);
+ if (mpz_cmp_ui (a, 5L) >= 0 || mpz_sgn (a) < 0)
+ {
+ result = FALSE;
+ gmp_printf ("Out-of-range or non-positive value: %Zd\n", a);
+ break;
+ }
+ mpz_urandomm (a, r1, b);
+ if (mpz_cmp_ui (a, 5L) >= 0 || mpz_sgn (a) < 0)
+ {
+ result = FALSE;
+ gmp_printf ("Out-of-range or non-positive value (from negative modulus): %Zd\n", a);
+ break;
+ }
+ }
+ gmp_randclear (r1);
+ }
+
+ if (result)
+ {
+ /* Test that m=1 forces always result=0. */
+ gmp_randinit_default (r1);
+ mpz_set_ui (m, 1L);
+ for (i = 0; i < 100; i++)
+ {
+ mpz_urandomm (a, r1, m);
+ if (mpz_sgn (a) != 0)
+ {
+ result = FALSE;
+ gmp_printf ("mpz_urandomm fails with m=1 (result=%Zd)\n", a);
+ break;
+ }
+ }
+ gmp_randclear (r1);
+ }
+
+ mpz_clear (a);
+ mpz_clear (b);
+ mpz_clear (m);
+ return result;
+}
+
+int
+main (int argc, char *argv[])
+{
+ int result = TRUE;
+
+ tests_start ();
+
+ if (result)
+ if (!check_params ())
+ result = FALSE;
+
+ tests_end ();
+
+ if (result)
+ return 0; /* pass */
+ else
+ return 1; /* fail */
+}
diff --git a/gmp/tests/rand/zdiv_round.c b/gmp/tests/rand/zdiv_round.c
new file mode 100644
index 0000000000..3a91e3092c
--- /dev/null
+++ b/gmp/tests/rand/zdiv_round.c
@@ -0,0 +1,44 @@
+/* zdiv_round() -- divide integers, round to nearest */
+
+/*
+Copyright 1999 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include "gmp.h"
+
+void
+zdiv_round (mpz_t rop, mpz_t n, mpz_t d)
+{
+ mpf_t f_n, f_d;
+
+ mpf_init (f_n);
+ mpf_init (f_d);
+
+ mpf_set_z (f_d, d);
+ mpf_set_z (f_n, n);
+
+ mpf_div (f_n, f_n, f_d);
+ mpf_set_d (f_d, .5);
+ if (mpf_sgn (f_n) < 0)
+ mpf_neg (f_d, f_d);
+ mpf_add (f_n, f_n, f_d);
+ mpz_set_f (rop, f_n);
+
+ mpf_clear (f_n);
+ mpf_clear (f_d);
+ return;
+}